x^2-800x+157662=0

Solution for x^2-800x+157662=0 equation:

x^2-800x+157662=0

a = 1; b = -800; c = +157662;
Δ = b2-4ac
Δ = -8002-4·1·157662
Δ = 9352
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:

$\sqrt{\Delta}=\sqrt{9352}=\sqrt{4*2338}=\sqrt{4}*\sqrt{2338}=2\sqrt{2338}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-800)-2\sqrt{2338}}{2*1}=\frac{800-2\sqrt{2338}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-800)+2\sqrt{2338}}{2*1}=\frac{800+2\sqrt{2338}}{2}
$