F(x)=x^2/3

Solution for F(x)=x^2/3 equation:

(F)=F^2/3

We move all terms to the left:

(F)-(F^2/3)=0

We get rid of parentheses

-F^2/3+F=0

We multiply all the terms by the denominator


-F^2+F*3=0

We add all the numbers together, and all the variables

-1F^2+F*3=0

Wy multiply elements

-1F^2+3F=0

a = -1; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-1)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-1}=\frac{-6}{-2}
=+3
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-1}=\frac{0}{-2}
=0
$