x^2+615x-90,000=0

Solution for x^2+615x-90,000=0 equation:

x^2+615x-90.000=0

We add all the numbers together, and all the variables

x^2+615x-90=0

a = 1; b = 615; c = -90;
Δ = b2-4ac
Δ = 6152-4·1·(-90)
Δ = 378585
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:

$\sqrt{\Delta}=\sqrt{378585}=\sqrt{9*42065}=\sqrt{9}*\sqrt{42065}=3\sqrt{42065}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(615)-3\sqrt{42065}}{2*1}=\frac{-615-3\sqrt{42065}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(615)+3\sqrt{42065}}{2*1}=\frac{-615+3\sqrt{42065}}{2}
$