x^2=2700

Solution for x^2=2700 equation:

x^2=2700

We move all terms to the left:

x^2-(2700)=0

a = 1; b = 0; c = -2700;
Δ = b2-4ac
Δ = 02-4·1·(-2700)
Δ = 10800
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:

$\sqrt{\Delta}=\sqrt{10800}=\sqrt{3600*3}=\sqrt{3600}*\sqrt{3}=60\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{3}}{2*1}=\frac{0-60\sqrt{3}}{2}
=-\frac{60\sqrt{3}}{2}
=-30\sqrt{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{3}}{2*1}=\frac{0+60\sqrt{3}}{2}
=\frac{60\sqrt{3}}{2}
=30\sqrt{3}
$