Question

Qual o valor de (3x+y)², quando 9x²+y²= 16 e xy=6 URGENTEEE!!!

Answer 1

Sabemos que:

(x+y)² = x² + 2xy + y²

Logo, temos que:

(3x+y)² = 9x² +2(3x)(y) + y²

(3x+y)² = 6xy + 9x² + y²

(3x+y)² = 6*6 + 16

(3x+y)² = 36 + 16

(3x+y)² = 52