X^2-360x-150=0

Solution for X^2-360x-150=0 equation:

X^2-360X-150=0

a = 1; b = -360; c = -150;
Δ = b2-4ac
Δ = -3602-4·1·(-150)
Δ = 130200
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:

$\sqrt{\Delta}=\sqrt{130200}=\sqrt{100*1302}=\sqrt{100}*\sqrt{1302}=10\sqrt{1302}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-360)-10\sqrt{1302}}{2*1}=\frac{360-10\sqrt{1302}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-360)+10\sqrt{1302}}{2*1}=\frac{360+10\sqrt{1302}}{2}
$