x^2-500x-500000=0

Solution for x^2-500x-500000=0 equation:

x^2-500x-500000=0

a = 1; b = -500; c = -500000;
Δ = b2-4ac
Δ = -5002-4·1·(-500000)
Δ = 2250000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2250000}=1500$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-500)-1500}{2*1}=\frac{-1000}{2}
=-500
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-500)+1500}{2*1}=\frac{2000}{2}
=1000
$