X^2-150x-3600=0

Solution for X^2-150x-3600=0 equation:

X^2-150X-3600=0

a = 1; b = -150; c = -3600;
Δ = b2-4ac
Δ = -1502-4·1·(-3600)
Δ = 36900
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:

$\sqrt{\Delta}=\sqrt{36900}=\sqrt{900*41}=\sqrt{900}*\sqrt{41}=30\sqrt{41}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-150)-30\sqrt{41}}{2*1}=\frac{150-30\sqrt{41}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-150)+30\sqrt{41}}{2*1}=\frac{150+30\sqrt{41}}{2}
$