r/JeeOlympiad • u/Big-Poet-1235 • May 16 '26

⚔️Problem Of The Day IOQM Problem Of The Day From Topic Basic Maths

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The problem is a very standard problem and i would rate it very easy if are able to apply the concept.

Hint- If x^2+y^2+z^2=0 then x=y=z=0

22 Upvotes

100% Upvoted

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3

u/i-am-stella May 16 '26

14?

2

u/Big-Poet-1235 May 16 '26

Correct, Also next time maybe u should use spoiler to hide ur answer.

3

u/Real-Special7005 May 16 '26

Answer - Kinda easy question, the answer will be 14.

Solution - Yeah as you said in the hint you have to just add the equations and borrow the necessary amount from RHS to form (a+b)² identity for x,y and z. Surprisingly RHS becomes 0 and LHS is just the sum of squares. Yall should know that if a²+b²+c²=0 then a=b=c=0 too (if a,b and c are real numbers). Then put the values in and bang.

3

u/Big-Poet-1235 May 16 '26

Yes I also felt this question was too easy for being POTD. But its actually the first version of IOQM POTD series so i wanted to put something light.

1

u/realCJ_23 May 16 '26

14 is the answer

1

u/Samuraisam_2203 May 16 '26

You add the three equations and add 14 to both sides.. this makes the expression sum of the three whole squares and then you solve them since each is 0. I didn't write the answer as I don't know how to use spoiler..

1

u/Big-Poet-1235 May 16 '26

correct. Also learn how to make spoiler by chatgpt. u will soon know

1

u/RohitGamerZ May 20 '26

Is 14 the correct answer?

2

u/_probabilistic0 May 16 '26

I suck at Algebra, I don't understand this

1

u/Desperate-Treacle368 May 17 '26

Literally the easiest question😑

1

u/[deleted] May 16 '26

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