6.22=5.5+y2

Solution for 6.22=5.5+y2 equation:

6.22=5.5+y2

We move all terms to the left:

6.22-(5.5+y2)=0

We add all the numbers together, and all the variables

-(+y^2+5.5)+6.22=0

We get rid of parentheses

-y^2-5.5+6.22=0

We add all the numbers together, and all the variables

-1y^2+0.72=0

a = -1; b = 0; c = +0.72;
Δ = b2-4ac
Δ = 02-4·(-1)·0.72
Δ = 2.88
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{2.88}}{2*-1}=\frac{0-\sqrt{2.88}}{-2}
=-\frac{\sqrt{}}{-2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{2.88}}{2*-1}=\frac{0+\sqrt{2.88}}{-2}
=\frac{\sqrt{}}{-2}
$