x^2-54x+720=616

Solution for x^2-54x+720=616 equation:

x^2-54x+720=616

We move all terms to the left:

x^2-54x+720-(616)=0

We add all the numbers together, and all the variables

x^2-54x+104=0

a = 1; b = -54; c = +104;
Δ = b2-4ac
Δ = -542-4·1·104
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-50}{2*1}=\frac{4}{2}
=2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+50}{2*1}=\frac{104}{2}
=52
$