F(x)=2x+7/x+1

Solution for F(x)=2x+7/x+1 equation:

(F)=2F+7/F+1

We move all terms to the left:

(F)-(2F+7/F+1)=0


Domain of the equation: F+1)!=0

F∈R


We get rid of parentheses

F-2F-7/F-1=0

We multiply all the terms by the denominator


F*F-2F*F-1*F-7=0

We add all the numbers together, and all the variables

-1F+F*F-2F*F-7=0

Wy multiply elements

F^2-2F^2-1F-7=0

We add all the numbers together, and all the variables

-1F^2-1F-7=0

a = -1; b = -1; c = -7;
Δ = b2-4ac
Δ = -12-4·(-1)·(-7)
Δ = -27
Delta is less than zero, so there is no solution for the equation