x^2-180x-225=0

Solution for x^2-180x-225=0 equation:

x^2-180x-225=0

a = 1; b = -180; c = -225;
Δ = b2-4ac
Δ = -1802-4·1·(-225)
Δ = 33300
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:

$\sqrt{\Delta}=\sqrt{33300}=\sqrt{900*37}=\sqrt{900}*\sqrt{37}=30\sqrt{37}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-180)-30\sqrt{37}}{2*1}=\frac{180-30\sqrt{37}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-180)+30\sqrt{37}}{2*1}=\frac{180+30\sqrt{37}}{2}
$