Question

If 2(x square+y square) =(x + y whole square) then show that x=y

Answer 1

In LHS 2 (x^2+y^2)=in Rhs (x+y)^2
2x^2+2y^2=x^2+y^2+2xy
2x^2-x^2+2y^2-y^2=2xy
Substract cofficent of x and y
X^2+y^2=2xy
x^2+y^2-2xy=0
(x-y)^2=0
(x-y )(x-y )=0
x-y =o (x-y )
x-y=0
x=y