u^2-65u+784=0

Solution for u^2-65u+784=0 equation:

u^2-65u+784=0

a = 1; b = -65; c = +784;
Δ = b2-4ac
Δ = -652-4·1·784
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-65)-33}{2*1}=\frac{32}{2}
=16
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-65)+33}{2*1}=\frac{98}{2}
=49
$