x^2=220.5

Solution for x^2=220.5 equation:

x^2=220.5

We move all terms to the left:

x^2-(220.5)=0

We add all the numbers together, and all the variables

x^2-220.5=0

a = 1; b = 0; c = -220.5;
Δ = b2-4ac
Δ = 02-4·1·(-220.5)
Δ = 882
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{882}=\sqrt{441*2}=\sqrt{441}*\sqrt{2}=21\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-21\sqrt{2}}{2*1}=\frac{0-21\sqrt{2}}{2}
=-\frac{21\sqrt{2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+21\sqrt{2}}{2*1}=\frac{0+21\sqrt{2}}{2}
=\frac{21\sqrt{2}}{2}
$