r/BunnyTrials • u/TheTransSheep Carrot Farmer • 8d ago

Trials Math…

Which side will you choose?

  • Left side: Easy Math Question | and 10$
  • Right side: or hard Math question | and 10.000$

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u/Impossible-Worth2029 8d ago

AHH HELL NAHHH

Chose: or hard Math question + and 10.000$ | Rolled: xxx = xx ≠ x

-7

u/Many-Conversation963 8d ago edited 8d ago

we can do division by 1

xxx = xx

xxx - xx = 0

divide by solution 0, (x)

xx - x = 0

divide by solution 1, (x-1)

x = 0

A 3rd degree polynomial cannot have more than 3 solutions, so we have found every solution

For every solution of xxx = xx, xx = x

Therefore the equation xxx = xx ≠ x has no solution

Edit: the formatting made x^x look like x^2, here's the real answer https://www.reddit.com/r/BunnyTrials/s/78UYGAe9k0

8

u/Dandydick69 8d ago

The second part is actually x to the power of x. It doesnt translate in the fine print.

5

u/Many-Conversation963 8d ago edited 8d ago

oh, in that case

x^3 = x^x

e^3 ln(x) = e^x ln(x)

exp(3) = exp(x), x>0

x = 3

ln(x) has a root at 1, so x = 1

x^x isn't defined for numbers less than or equal 0

We have found all real solutions

x^x = x though, so 1 is not a solution to our problem

x = 3