x^2-320x+11200=0

Solution for x^2-320x+11200=0 equation:

x^2-320x+11200=0

a = 1; b = -320; c = +11200;
Δ = b2-4ac
Δ = -3202-4·1·11200
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-320)-240}{2*1}=\frac{80}{2}
=40
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-320)+240}{2*1}=\frac{560}{2}
=280
$