y^2+5.6^2=8.6^2

Solution for y^2+5.6^2=8.6^2 equation:

y^2+5.6^2=8.6^2

We move all terms to the left:

y^2+5.6^2-(8.6^2)=0

We add all the numbers together, and all the variables

y^2-42.6=0

a = 1; b = 0; c = -42.6;
Δ = b2-4ac
Δ = 02-4·1·(-42.6)
Δ = 170.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{170.4}}{2*1}=\frac{0-\sqrt{170.4}}{2}
=-\frac{\sqrt{}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{170.4}}{2*1}=\frac{0+\sqrt{170.4}}{2}
=\frac{\sqrt{}}{2}
$