x^2-156x-182=0

Solution for x^2-156x-182=0 equation:

x^2-156x-182=0

a = 1; b = -156; c = -182;
Δ = b2-4ac
Δ = -1562-4·1·(-182)
Δ = 25064
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:

$\sqrt{\Delta}=\sqrt{25064}=\sqrt{4*6266}=\sqrt{4}*\sqrt{6266}=2\sqrt{6266}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-156)-2\sqrt{6266}}{2*1}=\frac{156-2\sqrt{6266}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-156)+2\sqrt{6266}}{2*1}=\frac{156+2\sqrt{6266}}{2}
$