Question

3x ao quadrado -4x+2=0

Answer 1

$3x^2 - 4x + 2$

$x = \dfrac{-b \pm \sqrt{b^2 -4*a*c}}{2*a}$

a=3, b=−4, c=2

Δ=b²−4ac
Δ=(−4)²−4*(3)*(2)
Δ=16−24
Δ= −8
====

$x = \dfrac{-b \pm \sqrt{\triangle}}{2*a}$

$x = \dfrac{-(-4) \pm \sqrt{-8}}{2*3} \\ \\ \\ x = \dfrac{4 \pm \sqrt{8}*i}{6} \\ \\ \\ x = \dfrac{4 \pm 2\sqrt{2}*i}{6} \\ \\ \\ x' = \dfrac{4 + 2\sqrt{2}*i}{6} \\ \\ \\ x' = \dfrac{2 + 2\sqrt{2}*i}{3} \\ \\ \\ x' = \dfrac{4 - 2\sqrt{2}*i}{6} \\ \\ \\ x' = \dfrac{2 - 2\sqrt{2}*i}{3}$


S = {$\dfrac{2 + 2\sqrt{2}*i}{3}\ , \ \ \dfrac{2 - 2\sqrt{2}*i}{3}$}