Question

if 2(x^2+y^2) =(x+y)^2 then show that x=y​

Answer 1

Step-by-step explanation:

$2( {x}^{2} + {y}^{2} ) = {(x + y)}^{2} \\ \\ 2 {x}^{2} + 2 {y}^{2} = {x}^{2} + {y}^{2} + 2xy \\ \\ {x}^{2} + {y}^{2} - 2xy = 0 \\ \\ {(x - y)}^{2} = 0 \\ \\ x - y = 0 \\ \\ x = y \\ \\ hence \: proved.$