Question

determine as raízes da equação 6X²+7X+2=0​

Answer 1

Resposta:

$6x^2+7x+2=0\quad :\quad x=-\frac{1}{2},\:x=-\frac{2}{3}\quad \left(\mathrm{Decimal}:\quad x=-0.5,\:x=-0.66666\dots \right)$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{Para\:}\quad a=6,\:b=7,\:c=2$

$x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\cdot \:6\cdot \:2}}{2\cdot \:6}$

$x_{1,\:2}=\frac{-7\pm \:1}{2\cdot \:6}$

$x_1=\frac{-7+1}{2\cdot \:6},\:x_2=\frac{-7-1}{2\cdot \:6}$

$x=-\frac{1}{2},\:x=-\frac{2}{3}$