x^2-80x-2116=0

Solution for x^2-80x-2116=0 equation:

x^2-80x-2116=0

a = 1; b = -80; c = -2116;
Δ = b2-4ac
Δ = -802-4·1·(-2116)
Δ = 14864
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:

$\sqrt{\Delta}=\sqrt{14864}=\sqrt{16*929}=\sqrt{16}*\sqrt{929}=4\sqrt{929}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-4\sqrt{929}}{2*1}=\frac{80-4\sqrt{929}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+4\sqrt{929}}{2*1}=\frac{80+4\sqrt{929}}{2}
$