x^2=653^2

Solution for x^2=653^2 equation:

x^2=653^2

We move all terms to the left:

x^2-(653^2)=0

We add all the numbers together, and all the variables

x^2-426409=0

a = 1; b = 0; c = -426409;
Δ = b2-4ac
Δ = 02-4·1·(-426409)
Δ = 1705636
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1705636}=1306$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1306}{2*1}=\frac{-1306}{2}
=-653
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1306}{2*1}=\frac{1306}{2}
=653
$