x^2-116x-256=0

Solution for x^2-116x-256=0 equation:

x^2-116x-256=0

a = 1; b = -116; c = -256;
Δ = b2-4ac
Δ = -1162-4·1·(-256)
Δ = 14480
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:

$\sqrt{\Delta}=\sqrt{14480}=\sqrt{16*905}=\sqrt{16}*\sqrt{905}=4\sqrt{905}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-116)-4\sqrt{905}}{2*1}=\frac{116-4\sqrt{905}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-116)+4\sqrt{905}}{2*1}=\frac{116+4\sqrt{905}}{2}
$