x^2+50x-75000=0

Solution for x^2+50x-75000=0 equation:

x^2+50x-75000=0

a = 1; b = 50; c = -75000;
Δ = b2-4ac
Δ = 502-4·1·(-75000)
Δ = 302500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{302500}=550$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-550}{2*1}=\frac{-600}{2}
=-300
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+550}{2*1}=\frac{500}{2}
=250
$