F(x)=-2x2/9

Solution for F(x)=-2x2/9 equation:

(F)=-2F^2/9

We move all terms to the left:

(F)-(-2F^2/9)=0

We get rid of parentheses

2F^2/9+F=0

We multiply all the terms by the denominator


2F^2+F*9=0

Wy multiply elements

2F^2+9F=0

a = 2; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·2·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*2}=\frac{-18}{4}
=-4+1/2
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*2}=\frac{0}{4}
=0
$