x^2-760x+800=0

Solution for x^2-760x+800=0 equation:

x^2-760x+800=0

a = 1; b = -760; c = +800;
Δ = b2-4ac
Δ = -7602-4·1·800
Δ = 574400
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:

$\sqrt{\Delta}=\sqrt{574400}=\sqrt{1600*359}=\sqrt{1600}*\sqrt{359}=40\sqrt{359}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-760)-40\sqrt{359}}{2*1}=\frac{760-40\sqrt{359}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-760)+40\sqrt{359}}{2*1}=\frac{760+40\sqrt{359}}{2}
$