F(x)=x2-11x

Solution for F(x)=x2-11x equation:

(F)=F2-11F

We move all terms to the left:

(F)-(F2-11F)=0

We add all the numbers together, and all the variables

-(+F^2-11F)+F=0

We get rid of parentheses

-F^2+11F+F=0

We add all the numbers together, and all the variables

-1F^2+12F=0

a = -1; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·(-1)·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*-1}=\frac{-24}{-2}
=+12
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*-1}=\frac{0}{-2}
=0
$