x^2=255456289

Solution for x^2=255456289 equation:

x^2=255456289

We move all terms to the left:

x^2-(255456289)=0

a = 1; b = 0; c = -255456289;
Δ = b2-4ac
Δ = 02-4·1·(-255456289)
Δ = 1021825156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1021825156}=31966$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-31966}{2*1}=\frac{-31966}{2}
=-15983
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+31966}{2*1}=\frac{31966}{2}
=15983
$