x2=529

Solution for x2=529 equation:

x2=529

We move all terms to the left:

x2-(529)=0

We add all the numbers together, and all the variables

x^2-529=0

a = 1; b = 0; c = -529;
Δ = b2-4ac
Δ = 02-4·1·(-529)
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-46}{2*1}=\frac{-46}{2}
=-23
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+46}{2*1}=\frac{46}{2}
=23
$