Question

1. Se x² + y² = 40 e xy = 12, o valor de (x + y)² é: (1,0) A) 38 B) 52 C) 64 D) 1600

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{x^2 + y^2 = 40}$

$\mathsf{xy = 12}$

$\mathsf{(x + y)^2 = x^2 + 2xy + y^2}$

$\mathsf{(x + y)^2 = (x^2 + y^2) + 2(xy)}$

$\mathsf{(x + y)^2 = (40) + 2(12)}$

$\mathsf{(x + y)^2 = (40) + (24)}$

$\boxed{\boxed{\mathsf{(x + y)^2 = 64}}}\leftarrow\textsf{letra C}$