n^2-2000n+510000=0

Solution for n^2-2000n+510000=0 equation:

n^2-2000n+510000=0

a = 1; b = -2000; c = +510000;
Δ = b2-4ac
Δ = -20002-4·1·510000
Δ = 1960000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1960000}=1400$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2000)-1400}{2*1}=\frac{600}{2}
=300
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2000)+1400}{2*1}=\frac{3400}{2}
=1700
$