Question

calcule o valor de X, sabendo que NP//QR.
URGENTE!!

Answer 1

$\frac{x - 1}{x + 6} = \frac{6}{3x + 8} \\ \\ 3x^2 + 8x - 3x - 8 = 6x + 36 \\ 3x^2 + 5x - 8 - 6x - 36 = 0 \\ 3x^2 - x - 44 = 0 \\ \\ x = \frac{-b \pm \sqrt{\Delta }}{2a} \\ \\ x = \frac{-(-1) \pm \sqrt{b^2 - 4ac}}{2(3)} \\ \\ x = \frac{1 \pm \sqrt{(-1)^2 - 4(3)(-44)}}{6} \\ \\ x = \frac{1 \pm \sqrt{529}}{6} <==> x = \frac{1 \pm 23}{6} \\ \\ so \\ considera \\ raiz \\ positiva \\ pois \\ x> 0 \\ entao \\ \\ x = \frac{1+23}{6} = \frac{24}{6} \\ \\ x = 4$