Question

Se xy = 37 e (x – y) = 10, qual é ao valor da expressão (x2 + y2)

Answer 1

$\Large\boxed{\begin{array}{l}\tt dados\begin{cases}\sf xy=37\\\sf x-y=10\\\sf x^2+y^2=?\end{cases}\\\underline{\blue{\boldsymbol{soluc_{\!\!,}\tilde ao\!:}}}\\\sf x^2+y^2=(x-y)^2+2xy\\\sf x^2+y^2=10^2+2\cdot37\\\sf x^2+y^2=100+74\\\sf x^2+y^2=174\blue{\checkmark}\end{array}}$