F(x)=3x+6/x-2

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Solution for F(x)=3x+6/x-2 equation:



(F)=3F+6/F-2
We move all terms to the left:
(F)-(3F+6/F-2)=0
Domain of the equation: F-2)!=0
F∈R
We get rid of parentheses
F-3F-6/F+2=0
We multiply all the terms by the denominator
F*F-3F*F+2*F-6=0
We add all the numbers together, and all the variables
2F+F*F-3F*F-6=0
Wy multiply elements
F^2-3F^2+2F-6=0
We add all the numbers together, and all the variables
-2F^2+2F-6=0
a = -2; b = 2; c = -6;
Δ = b2-4ac
Δ = 22-4·(-2)·(-6)
Δ = -44
Delta is less than zero, so there is no solution for the equation

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