x^2-2000x+300000=0

Solution for x^2-2000x+300000=0 equation:

x^2-2000x+300000=0

a = 1; b = -2000; c = +300000;
Δ = b2-4ac
Δ = -20002-4·1·300000
Δ = 2800000
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:

$\sqrt{\Delta}=\sqrt{2800000}=\sqrt{40000*70}=\sqrt{40000}*\sqrt{70}=200\sqrt{70}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2000)-200\sqrt{70}}{2*1}=\frac{2000-200\sqrt{70}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2000)+200\sqrt{70}}{2*1}=\frac{2000+200\sqrt{70}}{2}
$