n^2-125n+720=0

Solution for n^2-125n+720=0 equation:

n^2-125n+720=0

a = 1; b = -125; c = +720;
Δ = b2-4ac
Δ = -1252-4·1·720
Δ = 12745
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-125)-\sqrt{12745}}{2*1}=\frac{125-\sqrt{12745}}{2}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-125)+\sqrt{12745}}{2*1}=\frac{125+\sqrt{12745}}{2}
$