Question

EQUAÇÃO DO 2° GRAU
3x2-7x+2=0??​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{3x^2 - 7x + 2 = 0}$

$\mathsf{\Delta = b^2 - 4.a.c}$

$\mathsf{\Delta = (-7)^2 - 4.3.2}$

$\mathsf{\Delta = 49 - 24}$

$\mathsf{\Delta = 25}$

$\mathsf{x = \dfrac{-b \pm \sqrt{\Delta}}{2a} = \dfrac{7 \pm \sqrt{25}}{6} \rightarrow \begin{cases}\mathsf{x' = \dfrac{7 + 5}{6} = \dfrac{12}{6} = 2}\\\\\mathsf{x'' = \dfrac{7 - 5}{6} = \dfrac{2}{6} = \dfrac{1}{3}}\end{cases}}$

$\mathsf{S = \left\{\:2;\:\dfrac{1}{3}\:\right\}}$