X2-60x-3600=0

Solution for X2-60x-3600=0 equation:

X2-60X-3600=0

We add all the numbers together, and all the variables

X^2-60X-3600=0

a = 1; b = -60; c = -3600;
Δ = b2-4ac
Δ = -602-4·1·(-3600)
Δ = 18000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{18000}=\sqrt{3600*5}=\sqrt{3600}*\sqrt{5}=60\sqrt{5}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-60\sqrt{5}}{2*1}=\frac{60-60\sqrt{5}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+60\sqrt{5}}{2*1}=\frac{60+60\sqrt{5}}{2}
$