An algebra problem by Bala vidyadharan

Algebra Level 2

x>y>0 and x+y/x-y=2^1/2 ,the value of x^2+y^2/xy is

1 solution

Department 8
Jul 17, 2015

We have, $\frac{x+y}{x-y} = \sqrt{2}$ $\frac{(x+y)^{2}}{(x-y)^{2}}=2$ $x^ {2}+y^{2}+2xy=2x^{2}+2y^{2}-4xy$ $6xy=x^ {2}+y^{2}$

This gives out answer $\boxed{6}$

Please put parentheses in your problem statement where needed!

tom engelsman - 8 months, 2 weeks ago