x^2-80x+576=0

Solution for x^2-80x+576=0 equation:

x^2-80x+576=0

a = 1; b = -80; c = +576;
Δ = b2-4ac
Δ = -802-4·1·576
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-64}{2*1}=\frac{16}{2}
=8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+64}{2*1}=\frac{144}{2}
=72
$