Question

if 2(a2+b2)=(a+b2) then show a=b​

Answer 1

$2( {a}^{2} + {b}^{2} ) = {(a + b)}^{2} \\ \\ 2( {a}^{2} + {b}^{2} ) = {a}^{2} + 2ab + {b}^{2} \\ \\ {a}^{2} + {b}^{2} = 2ab \\ \\ {a}^{2} - 2ab + {b}^{2} = 0 \\ \\ {(a - b)}^{2} = 0 \\ \\ a - b = 0 \\ \\ a = b \\ \\ hence \: \: proved \:$