x^2-1228x+33600=0

Solution for x^2-1228x+33600=0 equation:

x^2-1228x+33600=0

a = 1; b = -1228; c = +33600;
Δ = b2-4ac
Δ = -12282-4·1·33600
Δ = 1373584
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1373584}=1172$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1228)-1172}{2*1}=\frac{56}{2}
=28
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1228)+1172}{2*1}=\frac{2400}{2}
=1200
$