So complicated

Algebra Level 4

Given xx and yy are distinct real numbers such that x2+y2x2y2+x2y2x2+y2=4\frac{x^{2}+y^{2}}{x^{2}-y^{2}}+\frac{x^{2}-y^{2}}{x^{2}+y^{2}}=4 If x8+y8x8y8+x8y8x8+y8\frac{x^{8}+y^{8}}{x^{8}-y^{8}}+\frac{x^{8}-y^{8}}{x^{8}+y^{8}} can be expressed as ab\frac{a}{b}, where aa and bb are positive numbers and gcd(a,b)=1\text{gcd}(a,b)=1, find a+ba+b.

×

Problem Loading...

Note Loading...

Set Loading...