386^2-336^2=b^2

Solution for 386^2-336^2=b^2 equation:

386^2-336^2=b^2

We move all terms to the left:

386^2-336^2-(b^2)=0

We add all the numbers together, and all the variables

-1b^2+36100=0

a = -1; b = 0; c = +36100;
Δ = b2-4ac
Δ = 02-4·(-1)·36100
Δ = 144400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144400}=380$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-380}{2*-1}=\frac{-380}{-2}
=+190
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+380}{2*-1}=\frac{380}{-2}
=-190
$