0=x^2-5.5x+5

Solution for 0=x^2-5.5x+5 equation:

0=x^2-5.5x+5

We move all terms to the left:

0-(x^2-5.5x+5)=0

We add all the numbers together, and all the variables

-(x^2-5.5x+5)=0

We get rid of parentheses

-x^2+5.5x-5=0

We add all the numbers together, and all the variables

-1x^2+5.5x-5=0

a = -1; b = 5.5; c = -5;
Δ = b2-4ac
Δ = 5.52-4·(-1)·(-5)
Δ = 10.25
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{-(5.5)-\sqrt{10.25}}{2*-1}=\frac{-5.5-\sqrt{10.25}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.5)+\sqrt{10.25}}{2*-1}=\frac{-5.5+\sqrt{10.25}}{-2}
$