x^2-475x-75000=0

Solution for x^2-475x-75000=0 equation:

x^2-475x-75000=0

a = 1; b = -475; c = -75000;
Δ = b2-4ac
Δ = -4752-4·1·(-75000)
Δ = 525625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{525625}=725$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-475)-725}{2*1}=\frac{-250}{2}
=-125
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-475)+725}{2*1}=\frac{1200}{2}
=600
$