Question

Qual valor de x para que as razões
X+3 e x+1 sejam inversas ?
3 5

Answer 1

Resposta:

Explicação passo-a-passo:

$\frac{x+3}{3} \:e\:\frac{x+1}{5} \\\\\frac{x+3}{3} =\frac{5}{x+1} \\x^2+x+3x+3=15\\\\x^2+4x-12=0$

D = b² - 4ac

D = 4² -4.1.(-12)

D = 16 + 48

D = 64

$x =\frac{-4+8}{2} =2\:ou\:x=\frac{-4-8}{2} =-6\\\\Resp.\:2\:e-6$