F(x)=x2/2=

Solution for F(x)=x2/2= equation:

(F)=F2/2=

We move all terms to the left:

(F)-(F2/2)=0

We add all the numbers together, and all the variables

F-(+F2/2)=0

We get rid of parentheses

F-F2/2=0

We multiply all the terms by the denominator


F*2-F2=0

We add all the numbers together, and all the variables

-1F^2+F*2=0

Wy multiply elements

-1F^2+2F=0

a = -1; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-1)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-1}=\frac{-4}{-2}
=+2
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-1}=\frac{0}{-2}
=0
$