x^2=7225

Solution for x^2=7225 equation:

x^2=7225

We move all terms to the left:

x^2-(7225)=0

a = 1; b = 0; c = -7225;
Δ = b2-4ac
Δ = 02-4·1·(-7225)
Δ = 28900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28900}=170$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-170}{2*1}=\frac{-170}{2}
=-85
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+170}{2*1}=\frac{170}{2}
=85
$