# PolyAMO0109

Algebra Level 5

Find the solution(hint: it's unique) to the following equations:

$$(1+x)(1+ x^{2})(1+ x^{4})=1+ y^{7}$$

$$(1+y)(1+ y^{2})(1+ y^{4})=1+ x^{7}$$ and $$x \neq 0$$ and $$y \neq 0$$