u^2-85u+324=0

Solution for u^2-85u+324=0 equation:

u^2-85u+324=0

a = 1; b = -85; c = +324;
Δ = b2-4ac
Δ = -852-4·1·324
Δ = 5929
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5929}=77$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-85)-77}{2*1}=\frac{8}{2}
=4
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-85)+77}{2*1}=\frac{162}{2}
=81
$