x^2+285x-9000=0

Solution for x^2+285x-9000=0 equation:

x^2+285x-9000=0

a = 1; b = 285; c = -9000;
Δ = b2-4ac
Δ = 2852-4·1·(-9000)
Δ = 117225
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:

$\sqrt{\Delta}=\sqrt{117225}=\sqrt{225*521}=\sqrt{225}*\sqrt{521}=15\sqrt{521}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(285)-15\sqrt{521}}{2*1}=\frac{-285-15\sqrt{521}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(285)+15\sqrt{521}}{2*1}=\frac{-285+15\sqrt{521}}{2}
$