Question

Faça em forma de baskara a equação do 2° grau:

d) 3x2 - x - 2 = 0 ​

Answer 1

Explicação passo-a-passo:

$\sf 3x^2-x-2=0$

$\sf \Delta=(-1)^2-4\cdot3\cdot(-2)$

$\sf \Delta=1+24$

$\sf \Delta=25$

$\sf x=\dfrac{-(-1)\pm\sqrt{25}}{2\cdot3}=\dfrac{1\pm5}{6}$

$\sf x'=\dfrac{1+5}{6}~\Rightarrow~x'=\dfrac{6}{6}~\Rightarrow~\red{x'=1}$

$\sf x"=\dfrac{1-5}{6}~\Rightarrow~x"=\dfrac{-4}{6}~\Rightarrow~\red{x"=\dfrac{-2}{3}}$