Question

X^2+8x+12=2x^2+7x
Resolva com cálculo

Answer 1

x² + 8x + 12 = 2x² + 7x

x² + 8x + 12 - 2x² - 7x = 0

-x² + x + 12 = 0

x² - x - 12 = 0

$x=\frac{-(-1)\pm\sqrt{(-1)^{2}-4\times1\times(-12) } }{2\times1}$

$x=\frac{1\pm\sqrt{1+48} }{2}$

$x=\frac{1\pm\sqrt{49} }{2}$

$x=\frac{1\pm7 }{2}$

$x_{1}=\frac{1-7}{2}=-3$

$x_{2}=\frac{1+7}{2}=4$