Question

3X²-4X=0 COMO MONTAR A CONTA

Answer 1

Resposta:

$X=\frac{4}{3},\:X=0$

Explicação passo a passo:

$3X^2-4X=0$

$X_{1,\:2}=\frac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:3\cdot \:0}}{2\cdot \:3}$

$X_{1,\:2}=\frac{-\left(-4\right)\pm \:4}{2\cdot \:3}$

$X_1=\frac{-\left(-4\right)+4}{2\cdot \:3},\:X_2=\frac{-\left(-4\right)-4}{2\cdot \:3}$

$X_1=\frac{-\left(-4\right)+4}{2\cdot \:3}=\frac{4+4}{2\cdot \:3}=\frac{8}{2\cdot \:3}=\frac{8}{6}=\frac{4}{3}$

$X_2=\frac{-\left(-4\right)-4}{2\cdot \:3}=\frac{4-4}{2\cdot \:3}=\frac{0}{2\cdot \:3}=\frac{0}{6}=0$

$X=\frac{4}{3},\:X=0$