F(x)=x^2-4.4x+2

Solution for F(x)=x^2-4.4x+2 equation:

(F)=F^2-4.4F+2

We move all terms to the left:

(F)-(F^2-4.4F+2)=0

We get rid of parentheses

-F^2+F+4.4F-2=0

We add all the numbers together, and all the variables

-1F^2+5.4F-2=0

a = -1; b = 5.4; c = -2;
Δ = b2-4ac
Δ = 5.42-4·(-1)·(-2)
Δ = 21.16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5.4)-\sqrt{21.16}}{2*-1}=\frac{-5.4-\sqrt{21.16}}{-2}
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.4)+\sqrt{21.16}}{2*-1}=\frac{-5.4+\sqrt{21.16}}{-2}
$