9.1^2+18.7^2=x^2

Solution for 9.1^2+18.7^2=x^2 equation:

9.1^2+18.7^2=x^2

We move all terms to the left:

9.1^2+18.7^2-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+432.5=0

a = -1; b = 0; c = +432.5;
Δ = b2-4ac
Δ = 02-4·(-1)·432.5
Δ = 1730
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{1730}}{2*-1}=\frac{0-\sqrt{1730}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1730}}{2*-1}=\frac{0+\sqrt{1730}}{-2}
=\frac{\sqrt{}}{-2}
$