3x+11=9-1/3x

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Solution for 3x+11=9-1/3x equation: 



3x+11=9-1/3x

We move all terms to the left:

3x+11-(9-1/3x)=0



Domain of the equation: 3x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

3x-(-1/3x+9)+11=0

We get rid of parentheses

3x+1/3x-9+11=0

We multiply all the terms by the denominator


3x*3x-9*3x+11*3x+1=0

Wy multiply elements

9x^2-27x+33x+1=0

We add all the numbers together, and all the variables

9x^2+6x+1=0

a = 9; b = 6; c = +1;
Δ = b2-4ac
Δ = 62-4·9·1
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-6}{18}=-1/3$

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