X2-36x+180=0

Solution for X2-36x+180=0 equation:

X2-36X+180=0

We add all the numbers together, and all the variables

X^2-36X+180=0

a = 1; b = -36; c = +180;
Δ = b2-4ac
Δ = -362-4·1·180
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-24}{2*1}=\frac{12}{2}
=6
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+24}{2*1}=\frac{60}{2}
=30
$