F(x)=(x2+2x)/x+2

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

(F)=(F2+2F)/F+2

We move all terms to the left:

(F)-((F2+2F)/F+2)=0


Domain of the equation: F+2)!=0

F∈R


We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


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


We calculate terms in parentheses: -((+F^2+2F)+F*F+2), so:

(+F^2+2F)+F*F+2

Wy multiply elements

(+F^2+2F)+F^2+2

We get rid of parentheses

F^2+F^2+2F+2

We add all the numbers together, and all the variables

2F^2+2F+2

Back to the equation:

-(2F^2+2F+2)


We get rid of parentheses

-2F^2-2F-2=0

a = -2; b = -2; c = -2;
Δ = b2-4ac
Δ = -22-4·(-2)·(-2)
Δ = -12
Delta is less than zero, so there is no solution for the equation