x^2=8388608

Solution for x^2=8388608 equation:

x^2=8388608

We move all terms to the left:

x^2-(8388608)=0

a = 1; b = 0; c = -8388608;
Δ = b2-4ac
Δ = 02-4·1·(-8388608)
Δ = 33554432
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:

$\sqrt{\Delta}=\sqrt{33554432}=\sqrt{16777216*2}=\sqrt{16777216}*\sqrt{2}=4096\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4096\sqrt{2}}{2*1}=\frac{0-4096\sqrt{2}}{2}
=-\frac{4096\sqrt{2}}{2}
=-2048\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4096\sqrt{2}}{2*1}=\frac{0+4096\sqrt{2}}{2}
=\frac{4096\sqrt{2}}{2}
=2048\sqrt{2}
$