x^2-182x-960=0

Solution for x^2-182x-960=0 equation:

x^2-182x-960=0

a = 1; b = -182; c = -960;
Δ = b2-4ac
Δ = -1822-4·1·(-960)
Δ = 36964
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:

$\sqrt{\Delta}=\sqrt{36964}=\sqrt{4*9241}=\sqrt{4}*\sqrt{9241}=2\sqrt{9241}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-182)-2\sqrt{9241}}{2*1}=\frac{182-2\sqrt{9241}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-182)+2\sqrt{9241}}{2*1}=\frac{182+2\sqrt{9241}}{2}
$