-2x^2-170x-86=0

Solution for -2x^2-170x-86=0 equation:

-2x^2-170x-86=0

a = -2; b = -170; c = -86;
Δ = b2-4ac
Δ = -1702-4·(-2)·(-86)
Δ = 28212
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{28212}=\sqrt{4*7053}=\sqrt{4}*\sqrt{7053}=2\sqrt{7053}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-170)-2\sqrt{7053}}{2*-2}=\frac{170-2\sqrt{7053}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-170)+2\sqrt{7053}}{2*-2}=\frac{170+2\sqrt{7053}}{-4}
$