x^2+2000x-1000000=0

Solution for x^2+2000x-1000000=0 equation:

x^2+2000x-1000000=0

a = 1; b = 2000; c = -1000000;
Δ = b2-4ac
Δ = 20002-4·1·(-1000000)
Δ = 8000000
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:

$\sqrt{\Delta}=\sqrt{8000000}=\sqrt{4000000*2}=\sqrt{4000000}*\sqrt{2}=2000\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2000)-2000\sqrt{2}}{2*1}=\frac{-2000-2000\sqrt{2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2000)+2000\sqrt{2}}{2*1}=\frac{-2000+2000\sqrt{2}}{2}
$