X2-32x+220=0

Solution for X2-32x+220=0 equation:

X2-32X+220=0

We add all the numbers together, and all the variables

X^2-32X+220=0

a = 1; b = -32; c = +220;
Δ = b2-4ac
Δ = -322-4·1·220
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-12}{2*1}=\frac{20}{2}
=10
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+12}{2*1}=\frac{44}{2}
=22
$