x2-22x+121=225

Solution for x2-22x+121=225 equation:

x2-22x+121=225

We move all terms to the left:

x2-22x+121-(225)=0

We add all the numbers together, and all the variables

x^2-22x-104=0

a = 1; b = -22; c = -104;
Δ = b2-4ac
Δ = -222-4·1·(-104)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-30}{2*1}=\frac{-8}{2}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+30}{2*1}=\frac{52}{2}
=26
$