x^2=8.5^2+11^2

Solution for x^2=8.5^2+11^2 equation:

x^2=8.5^2+11^2

We move all terms to the left:

x^2-(8.5^2+11^2)=0

We add all the numbers together, and all the variables

x^2-193.25=0

a = 1; b = 0; c = -193.25;
Δ = b2-4ac
Δ = 02-4·1·(-193.25)
Δ = 773
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{773}}{2*1}=\frac{0-\sqrt{773}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{773}}{2*1}=\frac{0+\sqrt{773}}{2}
=\frac{\sqrt{}}{2}
$