176^2+210^2=c^2

Solution for 176^2+210^2=c^2 equation:

176^2+210^2=c^2

We move all terms to the left:

176^2+210^2-(c^2)=0

We add all the numbers together, and all the variables

-1c^2+75076=0

a = -1; b = 0; c = +75076;
Δ = b2-4ac
Δ = 02-4·(-1)·75076
Δ = 300304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{300304}=548$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-548}{2*-1}=\frac{-548}{-2}
=+274
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+548}{2*-1}=\frac{548}{-2}
=-274
$