9.6^2=5.6^2+x^2

Solution for 9.6^2=5.6^2+x^2 equation:

9.6^2=5.6^2+x^2

We move all terms to the left:

9.6^2-(5.6^2+x^2)=0

We add all the numbers together, and all the variables

-(5.6^2+x^2)+92.16=0

We get rid of parentheses

-x^2+92.16-5.6^2=0

We add all the numbers together, and all the variables

-1x^2+60.8=0

a = -1; b = 0; c = +60.8;
Δ = b2-4ac
Δ = 02-4·(-1)·60.8
Δ = 243.2
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{243.2}}{2*-1}=\frac{0-\sqrt{243.2}}{-2}
=-\frac{\sqrt{}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{243.2}}{2*-1}=\frac{0+\sqrt{243.2}}{-2}
=\frac{\sqrt{}}{-2}
$