x^2=360000+360000

Solution for x^2=360000+360000 equation:

x^2=360000+360000

We move all terms to the left:

x^2-(360000+360000)=0

We add all the numbers together, and all the variables

x^2-720000=0

a = 1; b = 0; c = -720000;
Δ = b2-4ac
Δ = 02-4·1·(-720000)
Δ = 2880000
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:

$\sqrt{\Delta}=\sqrt{2880000}=\sqrt{1440000*2}=\sqrt{1440000}*\sqrt{2}=1200\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1200\sqrt{2}}{2*1}=\frac{0-1200\sqrt{2}}{2}
=-\frac{1200\sqrt{2}}{2}
=-600\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1200\sqrt{2}}{2*1}=\frac{0+1200\sqrt{2}}{2}
=\frac{1200\sqrt{2}}{2}
=600\sqrt{2}
$