x^2-120x+3200=0

Solution for x^2-120x+3200=0 equation:

x^2-120x+3200=0

a = 1; b = -120; c = +3200;
Δ = b2-4ac
Δ = -1202-4·1·3200
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-120)-40}{2*1}=\frac{80}{2}
=40
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-120)+40}{2*1}=\frac{160}{2}
=80
$