10.9^2+x^2=13^2

Solution for 10.9^2+x^2=13^2 equation:

10.9^2+x^2=13^2

We move all terms to the left:

10.9^2+x^2-(13^2)=0

We add all the numbers together, and all the variables

x^2-50.19=0

a = 1; b = 0; c = -50.19;
Δ = b2-4ac
Δ = 02-4·1·(-50.19)
Δ = 200.76
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{200.76}}{2*1}=\frac{0-\sqrt{200.76}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{200.76}}{2*1}=\frac{0+\sqrt{200.76}}{2}
=\frac{\sqrt{}}{2}
$