16^2+30^2=x^2

Solution for 16^2+30^2=x^2 equation:

16^2+30^2=x^2

We move all terms to the left:

16^2+30^2-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+1156=0

a = -1; b = 0; c = +1156;
Δ = b2-4ac
Δ = 02-4·(-1)·1156
Δ = 4624
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4624}=68$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-68}{2*-1}=\frac{-68}{-2}
=+34
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+68}{2*-1}=\frac{68}{-2}
=-34
$