x^2+250x-375000=0

Solution for x^2+250x-375000=0 equation:

x^2+250x-375000=0

a = 1; b = 250; c = -375000;
Δ = b2-4ac
Δ = 2502-4·1·(-375000)
Δ = 1562500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1562500}=1250$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(250)-1250}{2*1}=\frac{-1500}{2}
=-750
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(250)+1250}{2*1}=\frac{1000}{2}
=500
$