Question

1) Resolva a equação:

Answer 1

Resposta:

$x=6,\:x=-\frac{4}{3}$

Explicação passo a passo:

$\frac{x^2}{2}-\frac{x+12}{3}=2x$

$\frac{x^2}{2}\cdot \:6-\frac{x+12}{3}\cdot \:6=2x\cdot \:6$

$3x^2-2\left(x+12\right)=12x$

$3x^2-2x-24=12x$

$3x^2-2x-24-12x=12x-12x$

$3x^2-14x-24=0$

$x_{1,\:2}=\frac{-\left(-14\right)\pm \sqrt{\left(-14\right)^2-4\cdot \:3\left(-24\right)}}{2\cdot \:3}$

$x_{1,\:2}=\frac{-\left(-14\right)\pm \:22}{2\cdot \:3}$

$x_1=\frac{-\left(-14\right)+22}{2\cdot \:3},\:x_2=\frac{-\left(-14\right)-22}{2\cdot \:3}$

$x=6,\:x=-\frac{4}{3}$

Espero ter ajudado!!