x^2-1000x+3600=0

Solution for x^2-1000x+3600=0 equation:

x^2-1000x+3600=0

a = 1; b = -1000; c = +3600;
Δ = b2-4ac
Δ = -10002-4·1·3600
Δ = 985600
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:

$\sqrt{\Delta}=\sqrt{985600}=\sqrt{6400*154}=\sqrt{6400}*\sqrt{154}=80\sqrt{154}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1000)-80\sqrt{154}}{2*1}=\frac{1000-80\sqrt{154}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1000)+80\sqrt{154}}{2*1}=\frac{1000+80\sqrt{154}}{2}
$