x^2=617

Solution for x^2=617 equation:

x^2=617

We move all terms to the left:

x^2-(617)=0

a = 1; b = 0; c = -617;
Δ = b2-4ac
Δ = 02-4·1·(-617)
Δ = 2468
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:

$\sqrt{\Delta}=\sqrt{2468}=\sqrt{4*617}=\sqrt{4}*\sqrt{617}=2\sqrt{617}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{617}}{2*1}=\frac{0-2\sqrt{617}}{2}
=-\frac{2\sqrt{617}}{2}
=-\sqrt{617}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{617}}{2*1}=\frac{0+2\sqrt{617}}{2}
=\frac{2\sqrt{617}}{2}
=\sqrt{617}
$