u^2-54u+245=0

Solution for u^2-54u+245=0 equation:

u^2-54u+245=0

a = 1; b = -54; c = +245;
Δ = b2-4ac
Δ = -542-4·1·245
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-44}{2*1}=\frac{10}{2}
=5
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+44}{2*1}=\frac{98}{2}
=49
$