1000x-2x^2=0

Solution for 1000x-2x^2=0 equation:

1000x-2x^2=0

a = -2; b = 1000; c = 0;
Δ = b2-4ac
Δ = 10002-4·(-2)·0
Δ = 1000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1000000}=1000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1000)-1000}{2*-2}=\frac{-2000}{-4}
=+500
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1000)+1000}{2*-2}=\frac{0}{-4}
=0
$