51^2*45^2=c^2

Solution for 51^2*45^2=c^2 equation:

51^2*45^2=c^2

We move all terms to the left:

51^2*45^2-(c^2)=0

We add all the numbers together, and all the variables

-1c^2+5267025=0

a = -1; b = 0; c = +5267025;
Δ = b2-4ac
Δ = 02-4·(-1)·5267025
Δ = 21068100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{21068100}=4590$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4590}{2*-1}=\frac{-4590}{-2}
=+2295
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4590}{2*-1}=\frac{4590}{-2}
=-2295
$