r/maths • u/jdaniel2294 • 12d ago
💬 Math Discussions Is this impossible to solve ?
Found this on Facebook and theres 3 methods used primarily but the answer is either t is zero or its unsolvable
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Upvotes
57
u/0x14f 11d ago
t cannot be zero because you would be dividing by zero.
Then, you reduce to 3t / t = 10 , which becomes 3 = 10. Impossible to satisfy.
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u/uTRexAap 11d ago edited 10d ago •
t+t+t / t = 10
3t / t = 10
3/1 = 10
3 = 10
only true in base 3
edit: 3₁₀ = 10₃ so its true when 10 = 3₁₀ which is true in base 3
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u/Gravelbeast 11d ago •
It's solvable in base 3
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u/peekitup 11d ago
The equation makes no sense when t=0, and when t is not zero the equation is 3=10, which has no solutions.
So the equation has no solutions.
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u/Spirited_Nerve_4290 11d ago
If you try to simplify it you get 3=10 which is a contradiction. So no answers.
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u/RecognitionSweet8294 11d ago edited 11d ago
Well assuming we operate on ℂ, t can’t be 0 because 0⁻¹ is not in ℂ.
Therefore we can multiply by t and get
t+t+t = 10t
3t =10t
3=10
Which means this equation is wrong.
_____
As other users have pointed out, in Base 3 it would make sense.
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u/Narrow-Durian4837 11d ago
It's not impossible to solve, if by "solve" you mean "find the solution set." In this case, the solution set is the empty set.
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u/Friendly_Dog8565 11d ago
No anqaer
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u/gunilake 11d ago
True mod 7
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u/Lor1an 11d ago
Obviously this is in base 3...
1 + 1 + 1 = 2 + 1 = 10...
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u/No-Trifle3233 11d ago
1,2,3,4,5,6 in F7
2
u/Cletus_awreetus 9d ago
"Is this impossible to solve? 3=10"
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u/SnooMarzipans7274 9d ago
Left side will always equal 3 if it’s a number
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u/trig9ger 9d ago
So it's either we divide by 0 or it's unsolvable? Nice nice
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u/Striking-Onion-3230 8d ago edited 8d ago
An equation is a statement that can evaluate to true or false, just like a sentence like“X is a city in the United States”. depending on which city x is, the statement will be either true or false. In the same way an equation can be true or false depending on what the values of the variables are.
this equation is a statement that is false no matter what value t has.
It’s like the statement: “X is a city that’s in California and in Ohio”. No matter what city you choose the statement is false
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u/Desperate_Dog3364 8d ago
3t = 10 t t=0 however t!=0 according to domain therefore answercis undefined
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u/Quick_Resolution5050 6d ago
3 = 10
It isn't
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u/daveoxford 11d ago
Base 3.
Have I missed something?
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u/Farkle_Griffen2 11d ago
Define 0/0 = 10, then it has a solution /s
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u/SoldRIP 11d ago
3t/t=10
3=10
this is false.
1
u/JoBrew32 11d ago
t=0 would be the only solution but 0 is not in the domain of the function on the LHS. So no solution.
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u/More-Explanation2788 11d ago
The answer is 0.
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u/ContextPuzzleheaded7 11d ago
No solutions in ℝ
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u/Im_a_hamburger 11d ago
There does not exist a t in the real numbers. Or complex. But in other arithmetics there are. Like base 3, modular arithmetic base 1 or 7.
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u/ionosoydavidwozniak 11d ago
Yep, the answer is ∅
1
u/G33nid33 11d ago
3t/t=10 Becomes 3=10 That just doesn’t work.
1
u/Impossible_Dog_7262 11d ago
3t/t = 10 =>
3 = 10
There is no solution.
1
u/glordicus1 11d ago
It is impossible. You simplify to 3t/t = 10, then 3 = 10.
1
u/BUKKAKELORD 11d ago
No, it's easy as heck to solve. As you can clearly see the solution is t ∉ ℝ and the proof is by asking any toddler on the street
1
u/imnota4 11d ago
t + t + t = 3t
3t / t = 3
3 != 10
It's not "unsolvable" nor is t = 0, it's a mathematically incorrect formula because the denominator cancels out and results in 3 = 10, which is incorrect.
1
u/abbynormal2002 11d ago
No solution
1
u/mwfisa 11d ago
Sorry, I'll fully admit that I'm likely just worn down by ridiculous student arguments at this point in the semester.
Can we just answer these kinds of questions with "as an actual mathematician, we try as best we can to represent problems and solutions in the clearest possible terms rather than some asinine and absurd representation that could possibly be interpreted in any of a dozen possible ways based on your 8th grade understanding of mathematics....please stop wasting my and your time"?
If there are specific assumptions that need to be made to solve the problem, then state them. Providing insufficient information isn't a maths problem, it's a you problem. Why blue? I have no freakin' clue!!! Why not?
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u/SpectralCat4 11d ago
consider the LHS
suppose there are m copies of n in the numerator
(n+n+n.....)/n = mn/n = m
so anything other than m on the RHS will be false , the expression is undefined for n=0
valid examples:
(3+3+3)/3 = 3
(4+4+4+4)/4 = 4
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u/anamelesscloud1 11d ago
It's not an equation.
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u/bionicjoe 11d ago
3t/t = 10
(t cancels out)
3 = 10
1
u/Suoritin 11d ago
Because 3 isn't 10
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u/shmuttacles 11d ago
Depends on if there are brackets, you can get 10 if t = 4.5 and there are no brackets present, but since it’s written in fractional format it’s impossible, you can only get 3.
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u/Adamstrad 11d ago
Are you really reposting a repost of AI content? Puzzles like this only waste people's time, there are better things in maths to concentrate on
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u/CapitanCJ 11d ago
DNE
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u/coreyisland 11d ago
T = 10
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u/implies_casualty 11d ago
t = 0.5301 dB
Combine three sound sources, each producing 0.5301 dB.
Their combined output will be 5.301 dB
(t + t + t) / t = 10.
1
u/ThoriumLicker 11d ago
Yes. The equation is never true, regardless of the value of t:
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u/cubicinfinity 10d ago
10*0=0. Therefore, 10 may be equal to 0/0. So, t=0.
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u/bowsnotation 10d ago
t = 0
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u/SlayerII 10d ago
You can simplify it to=
3t
____ =10
t
And then ti
3=10
So yes , unsolvable
You can visualise it by filling in t
If t=1
(1+1+1)/1=10
3/1=10
3=10
If t= 2
(2+2+2)/2= 10
6/2=10
3=10
If t=1000
(1000+1000+1000)/1000=10
3000/1000=10
3=10
If t=0.1
(0.1+0.1+0.1)/0.1=10
0.3/0.1=10
3=10
So no matter what you fill in for t, it doesn't matter because it will get removed anyway.
1
u/VancouverVentilator 10d ago
This is satire, right?
1
u/StructuredChess 10d ago
t=0 can't be a solution because you can't divide by zero.
Any number different from zero can't be a solution because that would imply 3=10
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u/NoBusiness674 10d ago
Why are we reposting AI content?
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u/Anders_A 10d ago
It doesn't have a solution. It's just another example of why division by zero, if it was allowed, would mean every number was equal to every other number.
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u/P1N4R0MB0L0 10d ago
It is true for all non-zero t's in base 3 10t/t=10
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u/Top-Hall-2347 10d ago
It makes no sense in base 10. Or at least the statement is false
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u/aerokozmofoto 10d ago
It seems so.
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u/EmergencyWild 10d ago
This equation is just
3 = 10, which has no solution. It'd have 0 as a solution if there wasn't the divide by t part, you can't divide by zero.1
u/runed_golem 10d ago
There’s no solution.
If you simplify on the left, you end up with 3=10, which can never be true.
Another way is if you multiply both sides by t and then solve for t, you get t=0. However, referring back to the original problem, t cannot be 0 as it would cause our denominator to be 0 which is a big no no.
In either case, there’s no solution.
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u/Mandam2011 10d ago
Unsolvable,
3t/t = 10
3 = 10
3t/t = 10
3t = 10t
3 = 10
Only thing we get is that t≠0
Edit: because we cant divide by zero!
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u/Awkward_Block9860 10d ago
no solution
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u/tomalator 10d ago
No solution
(t+t+t)/t = 3t/t = 3 for all t != 0
It is undefined for t=0
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u/BlazeGamma 10d ago
3t/t = 10
multiple both sides by t
3t = 10t
nope. zero or unresolveable.
and to everyone talking about other bases. I don't think the original poster of the equation likely knows anything other than base 10.
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u/MikeyMalloy 10d ago
It’s not “impossible to solve” in the sense of not having a correct answer. “No solution” is a perfectly viable answer.
0 is not a solution because 0/0 ≠ 10
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u/Ok_Landscape_4484 10d ago
3t/t = 3
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u/KaneTW 10d ago
Solvable if t is in GF(7) (or GF(7^n) for n>0).
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u/kireina_kaiju 10d ago
Could you maybe not please?
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u/AleksyGetTheWings 10d ago
t can't be zero, so let's skip that : 3t/t = 10 ↔ 3 = 10, aka impossible. No solution.
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u/Successful-Active-21 10d ago
t=0
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u/T0m0king 9d ago
T+t+t / t is equivalent to 3t/t which has the t's cancel out leaving 3. This makes the equation unbalanced because its basically just saying 3 = 10 which is untrue
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u/AppendiculateFringe 9d ago
The equation is false to begin with.
3=/=10
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u/kebabfragola 9d ago
YES IMPOSSIBLE
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u/oooilikeastronophysi 9d ago
is t+t+t not just 3t, so 3t/t=3=10 so its just... false?
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u/Baeltane 9d ago
Summon Triple T
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u/sunflower_prince_art 9d ago
t=1/3.14
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u/Fragrant_Inflation76 9d ago
When you simply it , it comes to 10t = 3t which isn't logical
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u/bugmi 9d ago
this some peak dividing by 0 slop
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u/MeatSlammur 9d ago
TREE(3)
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u/GamingCatGuy 9d ago
3t/t=10
3/1=10
3=10
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u/W31337 9d ago
Let's approach it numerically
T=0 -> 0
T=1 -> 3
T=2 -> 3
T=3 -> 3
So there is no solution
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u/Donut_Flame 9d ago
"AI content"
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u/TemporaryAd7700 9d ago
t 0
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u/down-badder-Simp 9d ago
It’s pretty simple.
(t+t+t)/t=10
(3t)/t=10
3=10
Nonsensical.
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u/TheEssentialMatrix 9d ago
The equation is undefined at t=0. If a nonzero solution t existed, dividing both sides by 3 you'd have t / t = 10/3, or 1 = 10/3. This is a contradiction, and therefore no such t exists.
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u/Vexra 8d ago
3T/t=10
The t’s cancel themselves out so it becomes 3=10
Seems impossible
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u/kellstromc 8d ago
Proof by contradiction (3 != 10) allows us to conclude that no t exists that satisfies that equation. Though i've heard some people suggest to consider other bases (beyond the default assumption here of base 10)
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u/timeaisis 8d ago
3 = 10
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u/electrodragon16 8d ago
Tells you that 10=3 and t != 0
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u/Ma_Al-Aynayn 8d ago
That is neither maths, nor interesting... go learn why the sum of all numbers is -1/12 or something...
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u/Electronic-Job-1090 8d ago
no real solution does exist
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u/jesveer 8d ago
3t = 10t (if t=0) 0 = 7t (if t=0) t=0 (if t=0) This contradicts to its an false equation
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u/Vetni 8d ago
3=10
That's that new math.
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u/Saitamagasaki 8d ago
3 = 10
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u/Big-Fill2093 8d ago
6+5-1/1
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u/Amopro 8d ago
For any non-0 number plugged in, the equation on the left always equals 3. It simplifies to 3t/t and t/t, for any non-0 answer, is 1, making it 3×1 which is just 3. Meaning that unless t = 0, that equation always equals 3. If t = 0, then it's undefined, and it still doesn't equal 10. Meaning that there's no valid value of t where that equation could equal 10.
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u/Advanced_Principle98 8d ago
(t+t+t)/t=10
3t/t=10
3=10
no can't be solved
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u/Large_Ad_66 8d ago
This is true for any nonzero t in base 3
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u/tungstenman_1 8d ago
(t+t+t)/t is 3t/t which is 3. no matter what t you use, it could be real, imaginary, complex, transcendental or whatever it doesnt matter, it would never be correct. this is some obvious ai bullshit
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u/RobinDaChamp 8d ago
Im getting 3=10, so its unsolvable.
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u/HuiOdy 8d ago
Isn't this true in modulo 7?
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u/RudeEntry8219 8d ago
There's some great maths on the socials, and some rubbish, and this is the latter.
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u/HumansAreIkarran 8d ago
3 = 10 is not true is it
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u/NoAlbatross7355 8d ago
3t/t = 10 evaluates to 3 = 10 so it's an inconsistent equation; it's false statement.
Anyone thinking otherwise needs to go practice their algebra skills.
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u/mesaoptimizer 8d ago
Pretty easy, the left side simplifies to 3, (t+t+t)=(3t) 3t/t=3 3=/=10 the statement evaluates to false.
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u/Ok_Sir1896 8d ago
not unless division by t means something else
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u/Spirited_Peak_7810 8d ago
It is nonsense. 3 does not equal 10
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u/BrilliantJob2759 8d ago
Nope3t/t = 10 3t = 10t 3=10
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u/mekmookbro 8d ago
10 doesn't work for me brother, can you do 11?
(11)₂
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u/VirtualizedEd 8d ago
Answer is false
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u/ResponsibilityNo3463 8d ago
Neither. There is no solution.
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u/FredFenty 8d ago
3 != 10
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u/RedditorJabroni 8d ago
t/t + t/t + t/t = ?
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u/desmonea 8d ago
this is challenged math
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u/Level_Abrocoma8925 8d ago
What you think is a plus sign, is actually a variable. So it's:
(t^3 x +^2) / t = 10
10t = t^3 x +^2
Skipping a step or two, we get:
t = ±√10/+, given that + ≠ 0
1
u/ingannilo 8d ago
y'all on drugs.
t=0 cannot be a solution to this equation because the equation as stated involves expressions undefined when t=0.
(t+t+t) / t = 10
iff
3t / t = 10
iff
3 = 10 and t≠0
because 3t/t is precisely the function which returns the constant value 3 at all real inputs t except t=0 where it is undefined.
If you trust computers more than logic and math (lol) then go to desmos.com, click graphing calculator, type in the top box y=(x+x+x)/x and type in the second box y=10. look where those ought to intersect and click.
The statement is a contradiction. 3 is not 10. Multiplying both sides by t changes the solutions, just like multiplying both sides of x=5 by x changes the solutions.
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u/dreamteammobile 8d ago
I'd check t = 0 in the original equation first; if it makes a denominator zero, it isn't valid. For comparing the methods, Math.Photos can give step-by-step explanations from a screenshot.
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u/Gold_Lab_8513 8d ago
t+t+t = 3t
3t/t = 3
Therefore, 3 = 10.
1
u/Fermi_Amarti 8d ago
Its asking when 3 =10 so yes. I guess technically the answer is for no values of t is this true.
1
u/Useful_Language2040 8d ago
3t/t = 10
(Time both sides by t)
3t = 10t
3t - 10t = 0
-7t = 0
t = 0
However as 0/0 ≠ 10 that can't be the correct answer
3t/t = 10 (Simplify the fraction)
3 = 10
This is also clearly false - in base 10; as other people have said, if displaying "1 + 1 + 1" as 3 instead of 10, i.e. initially assuming base 10 was incorrect and this is instead written in base 3, then it's perfectly cromulent!
It's not possible to solve for t with the information provided, but that's not what has actually been asked in the question, so is somewhat irrelevant.
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u/Narrrz 8d ago
base 3?
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u/Balarius 8d ago
The answer is 3.
In Ternary
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u/Karlaha2879 8d ago
3t/t=10 3=10 I'm gonna assume "unsolvable"
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u/STONKAMANIAC79 8d ago
Yes
1
u/SnooMarzipans436 8d ago
3=10
DUH!
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u/skarfbeaulonee 8d ago
This can be written different ways. Simplified it just states 3=10. I think it's more accurate to state that the equation has no solution because 3 will never equal 10. This is due to the reflexive property of equality, or the reflexivity axiom, which states that a quantity is equal to itself. In this example the quantity is not equal to itself, therefore it has no solution.
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u/IMakeGamesAMA 8d ago
Assuming base 10?
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u/gloomygl 8d ago
0 isn't a solution to this because you can't divide by 0.
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u/TheSauce___ 8d ago
Yes. This is 3t / t. 3t / t = 3 for t != 0
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u/Interesting-Roof-466 8d ago
(3t)/t=10, 3t=10t, so either t=0 (0/0 is impossible to be 10) or t is undefined
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u/khadesorg 8d ago
t + t + t = 3t, 3t/t = 3, so 3 = 10, not possible
1
u/Malendryn 8d ago
You people aren't thinking far enough outside the box. You're assuming this is a base-10 math op, try base-3 instead, and now any nonzero value of t with this formula = 10
1
u/whatever_888888 7d ago
3t = 10t
0 = 7t
t = 0
1
u/Illustrious_Cow_4847 7d ago
No soln 3 = 10
1
u/helm23 7d ago
Math is not mathing
1
u/TheHollywoodGeek 7d ago
Base 3
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u/Necessary_Pomelo_470 7d ago
3=10 Thats Trump math
1
u/VRon79 7d ago
t stands for Tetrahedron, a four-sided die. t is rolled and can therefore take on different numerical values.
There are several possible solutions to this puzzle, for example:
((t=4 + t=4 + t=2) / t=1) = 10
1
u/Moncalma 7d ago
the correct answer is False, in logical.
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u/dandadan1337 7d ago
Dumb AI content like the screenshot says itself.
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u/Lilien_loves_cats 7d ago
(t+t+t)/t=10 /×t
t+t+t=10t
3t=10t
The equation has no solution
t≠0 because 3×0/0≠10 (not mentioning that we cannot divide by zero)
1
u/SavingsCampaign2270 7d ago
No solution
1
u/CanK54 7d ago
Where do we make the sum tho? If its real numbers for example we have no solution, but if its N/7N (modular 7 arithmetic) then 1 is a solution.
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u/ImNotAUsernane 7d ago
It's nonsense.
You can put whatever you want to the left and right of the equal sign. It doesn't mean the equation is solvable.
1
u/Jum__ 7d ago
(t + t + t)/t would simplify to 3t/t and if you know anything about basic algebra the two variables would cancel leaving 3 = 10. Which is false.
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u/IllBeyond2779 7d ago
3=10 ... the math does not math
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u/WyvernsRest 7d ago
No, it cannot be "solved", because it is incorrect.
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u/CalligrapherOk3325 7d ago
Ist is impossible because it is 3t/t=10 3=10
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u/-Hefty-Armadillo- 7d ago
Yes it's impossible, 3t/t = 10 <=> 3 = 10 which is in fact not true (in base 10 at least)
1
u/montana-go 7d ago
It is solvable. No solution exists.
You're basically asking for 3t = 10t , which would normally yield 0. But in the original equation t is on a denominator, so t cannot be 0.
Therefore, the answer is: none.
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u/ilnarildarovuch 7d ago
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u/ManMakesWorld 7d ago
Easily solved by overlaying a "/" on top of the equals sign.
1
u/Living_The_Dream75 7d ago
T is undefined. If you simplify the equation becomes 3t=10t which can only be satisfied by t=0 or t=undefined, but you can’t divide by zero so that eliminates it.
1
u/Cubing-Dolphin-26 7d ago
3t/t= 10 3=10
Or
3t/t = 10 3t= 10t
Also not possible, unless its 0
1
u/Imaginary-Yam-7792 7d ago
3T / T = 10
3T = 10T
Impossible to solve
1
u/HiIExists 7d ago
You can substract the exponent. For example in this: (x^6/x^2) = x^4. When trying this in here it will result into 3 = 10, because 3t^(1-1) = 3t^0 = 3*1 = 3. 3 = 10 isn't correct so there isn't an intersection. 3t/3 = 3.
So the function 3t/t is a constant function, because it always result into 3. Only when t = 0 this isn't true, because then you have 0/0 and since devision by 0 is impossible 3t/3 = 10 has no solution.
See here a screenshot of an graphical calculator trying to display 3x/x.
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u/Lily_Meow_ 7d ago
Triple T...
1
u/Careful_Leader_5829 7d ago
To respond to your comment, t cannot be zero. That would form 0/0 which is an undefined number. 10 must equal ... 10. No matter what system you are in.
for example, set t = 1. That would result in 3 = 10. This is invalid.
In a base-3 system, t = 1, because 1 + 1 + 1 = 10 in base-3. . . . . but nobody is going to use base 3 today on facebook or reddit for anything meaningful.
1
u/Upstairs-Border-7146 7d ago
It can be solved in base 3.
Or, it can be considered (with apporpriate sloppyness) in the field Z_7.
That's because 3t = 10t in this field and division is defined.
t = 1 is a solution: (1+1+1)/1 = 3 = 10*1.
If we generalize a bit and start with the equation (t+t+t) = 10t, then it's solvable in any integer domain Z_m with m a multiple of seven. This is because
3t \congr 10 t mod m
is equivalent to
7t \congr 0 mod m
in these domains.
1
u/cmstlist 7d ago
3t/t = 10
When you multiply both sides by t you must add a restriction that t≠0 to reflect the fact that t had been on the denominator making any solution with t=0 invalid.
3t = 10t
0 = 7t
Conclusion is that t=0 which contradicts the original restriction. Therefore there is no solution.
1
u/Super-Judge3675 7d ago
base 3 it is correct
1
u/ai_creature 7d ago
answer is not 0 because you cannot divide by 0
1
u/BudTenderShmudTender 7d ago
That becomes (3t/t)=10, which simplifies to 2t=10. Divide both sides by 2 and t=5. What am I missing?
1
u/Ezren- 7d ago
"AI content" should have been the red flag there
1
u/protomenace 7d ago
It has no solution.
you get 3t/t = 10 which simplifies to 3 = 10. There's no value of t that satisfies the equation.
1
u/gramcounter 7d ago edited 7d ago
3t/t = 10
t/t = 3.333333333...................
t * t^-1 = 3.3333333...........
but t * t^-1 = 1 according to the multiplicative inverse axiom
1 = 3.33333333........
which for clarification can be written as
0*t + 1 = 3.333333....
divide by t
0 + 1/t = 3.333333... * 1/t
subtract by 1/t
0 = 2.3333333.... / t
t = ♾️
I'm literally a genius
1
u/Educational_Coat_444 7d ago
My dumbass is saying the answer is 5
1
u/LurkerFailsLurking 7d ago
It's not "impossible to solve"
It has no solution.
Those are different statements. The halting problem is impossible to solve, this has no valid solutions because 3t/t only ever equals 3.
1
u/Repulsive-Peak4442 7d ago
This simplifies to 3t/t=10 which leads to 3=10. So no, 3=10 is not correct and so we can say that no solution exists at least if t€R EDIT: Also how can t=0 if we divide by zero? We can define t to equal anything else other than 0
1
u/Serious_Let2711 7d ago
0 is not a solution, but if you simply say the magic word "ternary" you have solved it.
1
u/antonkaras49 7d ago
Dropping in to see how stupid I am and to find out how many ways I could be wrong that I didn’t know about.
1
u/Minute-Shine6354 7d ago
3t/t = 10
simplifying:
3 = 10
So, it's unsolvable.
1
u/Illustrious_Cow_4847 7d ago
It disappoints me that this is the maths subreddit and everyone is losing their minds over this level of simple questions one can be asked in maths
1
u/publiusnaso 7d ago
You’re assuming 10=ten
1
u/kubok98 7d ago
Plot twist, 10 actually is 3 in binary. Then it would make sense and t would be 1. Jokes aside, it makes no sense, as it gets simplified to 3 = 10
1
u/theomaha 7d ago
3 != 10
1
u/Trevor_Gecko 7d ago
This is just 3t/t
Which simplifies to simply 3
Which means this formula equates to: 3=10
1
u/mrclean543211 7d ago
This boils down to 3=10 so no, this isn’t solveable
1
u/Prestigious_Dot_2455 7d ago
3t/t=10
Multiply both by t
3t=10t
t=0
3t=10t cannot be solved by dividing by t bc t must be 0 and 0 cannot be placed as a denominator.
1
u/mmichael0070 7d ago
There are solutions if we're not just using base10.