x^2=236

Solution for x^2=236 equation:

x^2=236

We move all terms to the left:

x^2-(236)=0

a = 1; b = 0; c = -236;
Δ = b2-4ac
Δ = 02-4·1·(-236)
Δ = 944
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:

$\sqrt{\Delta}=\sqrt{944}=\sqrt{16*59}=\sqrt{16}*\sqrt{59}=4\sqrt{59}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{59}}{2*1}=\frac{0-4\sqrt{59}}{2}
=-\frac{4\sqrt{59}}{2}
=-2\sqrt{59}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{59}}{2*1}=\frac{0+4\sqrt{59}}{2}
=\frac{4\sqrt{59}}{2}
=2\sqrt{59}
$