X^2-33x+116=0

Solution for X^2-33x+116=0 equation:

X^2-33X+116=0

a = 1; b = -33; c = +116;
Δ = b2-4ac
Δ = -332-4·1·116
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-33)-25}{2*1}=\frac{8}{2}
=4
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+25}{2*1}=\frac{58}{2}
=29
$