8.6^2=4.3^2+x^2

Solution for 8.6^2=4.3^2+x^2 equation:

8.6^2=4.3^2+x^2

We move all terms to the left:

8.6^2-(4.3^2+x^2)=0

We add all the numbers together, and all the variables

-(4.3^2+x^2)+73.96=0

We get rid of parentheses

-x^2+73.96-4.3^2=0

We add all the numbers together, and all the variables

-1x^2+55.47=0

a = -1; b = 0; c = +55.47;
Δ = b2-4ac
Δ = 02-4·(-1)·55.47
Δ = 221.88
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{221.88}}{2*-1}=\frac{0-\sqrt{221.88}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{221.88}}{2*-1}=\frac{0+\sqrt{221.88}}{-2}
=\frac{\sqrt{}}{-2}
$