Question

Determine o valor de delta:

g) 3x²-2x-6=0

Se puderem fizer a conta com a fórmula b²-4.a.c, agradeço!

Answer 1

a=3
b=−2
c=−6

Δ=b^2−4ac
Δ=(−2)^2−4*(3)*(−6)
Δ=4+72
Δ=76

$\frac{-b \pm \sqrt{\triangle} }{2 * a} \\ \\ \frac{-(-2) \pm \sqrt{76} }{2 * 3} \\ \\ \frac{2 \pm \sqrt{76} }{6} \\ \\ \frac{2 \pm 2\sqrt{19} }{6} \\ \\ \\ x'= \frac{2 + \sqrt{19} }{3} \\ \\ x'' = \frac{2 - \sqrt{19} }{3}$

$S = \left \{ \frac{2 + \sqrt{19} }{3} , \frac{2 - \sqrt{19} }{3} }\right.\}$