x^2=2250

Solution for x^2=2250 equation:

x^2=2250

We move all terms to the left:

x^2-(2250)=0

a = 1; b = 0; c = -2250;
Δ = b2-4ac
Δ = 02-4·1·(-2250)
Δ = 9000
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:

$\sqrt{\Delta}=\sqrt{9000}=\sqrt{900*10}=\sqrt{900}*\sqrt{10}=30\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{10}}{2*1}=\frac{0-30\sqrt{10}}{2}
=-\frac{30\sqrt{10}}{2}
=-15\sqrt{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{10}}{2*1}=\frac{0+30\sqrt{10}}{2}
=\frac{30\sqrt{10}}{2}
=15\sqrt{10}
$