x2=36000

Solution for x2=36000 equation:

x2=36000

We move all terms to the left:

x2-(36000)=0

We add all the numbers together, and all the variables

x^2-36000=0

a = 1; b = 0; c = -36000;
Δ = b2-4ac
Δ = 02-4·1·(-36000)
Δ = 144000
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:

$\sqrt{\Delta}=\sqrt{144000}=\sqrt{14400*10}=\sqrt{14400}*\sqrt{10}=120\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{10}}{2*1}=\frac{0-120\sqrt{10}}{2}
=-\frac{120\sqrt{10}}{2}
=-60\sqrt{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{10}}{2*1}=\frac{0+120\sqrt{10}}{2}
=\frac{120\sqrt{10}}{2}
=60\sqrt{10}
$