Solve x^4 + (2 - x)^4 = 34.

The solutions are x = 1 and x = 2.

\(-\sqrt{2}+1\)or \(\sqrt{2}+1\)

Solutions obtained as follows:

1 and 2

please correct me if I'm wrong

1^{4} + (2-1)^{4} = 2

2^{4} + (2-2)^{4} = 16