190^2+336^2=c^2

Solution for 190^2+336^2=c^2 equation:

190^2+336^2=c^2

We move all terms to the left:

190^2+336^2-(c^2)=0

We add all the numbers together, and all the variables

-1c^2+148996=0

a = -1; b = 0; c = +148996;
Δ = b2-4ac
Δ = 02-4·(-1)·148996
Δ = 595984
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{595984}=772$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-772}{2*-1}=\frac{-772}{-2}
=+386
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+772}{2*-1}=\frac{772}{-2}
=-386
$