Question

let x=$\frac{\sqrt{13} + \sqrt{11}}{\sqrt{13} -\sqrt{11} }$ and y = $\frac{1}{x}$, then the values of (3x²-5xy+3y) Is?

Answer 1

x+y = √13-√11/√13+√1+√13-√11/√13+√1 = 2(13+11)/13-11

=24

3x2-5xy+3y2 = 3(x+y)2 - 11xy

=3(24)2-11(1) = 1717