x^2=363

Solution for x^2=363 equation:

x^2=363

We move all terms to the left:

x^2-(363)=0

a = 1; b = 0; c = -363;
Δ = b2-4ac
Δ = 02-4·1·(-363)
Δ = 1452
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:

$\sqrt{\Delta}=\sqrt{1452}=\sqrt{484*3}=\sqrt{484}*\sqrt{3}=22\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-22\sqrt{3}}{2*1}=\frac{0-22\sqrt{3}}{2}
=-\frac{22\sqrt{3}}{2}
=-11\sqrt{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+22\sqrt{3}}{2*1}=\frac{0+22\sqrt{3}}{2}
=\frac{22\sqrt{3}}{2}
=11\sqrt{3}
$