-3x^2-27x+131=0

Solution for -3x^2-27x+131=0 equation:

-3x^2-27x+131=0

a = -3; b = -27; c = +131;
Δ = b2-4ac
Δ = -272-4·(-3)·131
Δ = 2301
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-\sqrt{2301}}{2*-3}=\frac{27-\sqrt{2301}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+\sqrt{2301}}{2*-3}=\frac{27+\sqrt{2301}}{-6}
$