Question

a4 + b4 + c4 + d4 = (a + b + c + d)4 where variables a, b, c and d can be any positive integer, negative integer or zero.
This is one of the hardest math questions ever worth 100 points and brainliest!!!

Answer 1

There are infinitely many solutions if $a,b,c,d$ can be any integers.

You can set $b=c=d=0$ and you're left with $a^4=a^4$, true for all values of $a\in\mathbb Z$.

Unless you have some other restrictions or conditions to satisfy, this is all you can say about the solution set...

Answer 2

Hi there!

This set you have given is not a definitive set, therefore there is not definitive answer that can be given. It is a indefinite set, which means that any set of integers can be put in as a solution to this set. Unless there are defining quantifiers then the set and solution are both infinite.

Your friend, ASIAX