x^2-80x-12800=0

Solution for x^2-80x-12800=0 equation:

x^2-80x-12800=0

a = 1; b = -80; c = -12800;
Δ = b2-4ac
Δ = -802-4·1·(-12800)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-240}{2*1}=\frac{-160}{2}
=-80
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+240}{2*1}=\frac{320}{2}
=160
$