7225=c2

Solution for 7225=c2 equation:

7225=c2

We move all terms to the left:

7225-(c2)=0

We add all the numbers together, and all the variables

-1c^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:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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