x^2-22x-3600=0

Solution for x^2-22x-3600=0 equation:

x^2-22x-3600=0

a = 1; b = -22; c = -3600;
Δ = b2-4ac
Δ = -222-4·1·(-3600)
Δ = 14884
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14884}=122$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-122}{2*1}=\frac{-100}{2}
=-50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+122}{2*1}=\frac{144}{2}
=72
$