1000n2=2n

Solution for 1000n2=2n equation:

1000n^2=2n

We move all terms to the left:

1000n^2-(2n)=0

a = 1000; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·1000·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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