What is the answer to 3x-1= 1/x ?

The answer to 3x-1= 1/x is x=(1+sqrt(13))/6 ,x=(1-sqrt(13))/6

Solve for x: 3x-1= 1/x

The solution is x=(1+sqrt(13))/6 ,x=(1-sqrt(13))/6

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3 x - 1 = \frac{1}{x}

x = \frac{1 + 13}{6}, x = \frac{1 - 13}{6}

Decimal Notation

x = 0.76759 \dots, x = - 0.43425 \dots

Solution steps

3 x - 1 = \frac{1}{x}

Multiply both sides by

x

3 x^{2} - x = 1

Solve

3 x^{2} - x = 1 : x = \frac{1 + 13}{6}, x = \frac{1 - 13}{6}

x = \frac{1 + 13}{6}, x = \frac{1 - 13}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1 + 13}{6}, x = \frac{1 - 13}{6}

\frac{3}{x - 2} = \frac{2}{x - 2}

\frac{x}{x - 3} + 4 = \frac{2 x - 3}{x - 3}

x + \frac{1}{x - 4} = 0

y + \frac{4}{y} = 5

3 (x - 1) = \frac{4}{x + 1} - 5

What is the answer to 3x-1= 1/x ?
The answer to 3x-1= 1/x is x=(1+sqrt(13))/6 ,x=(1-sqrt(13))/6
Solve for x: 3x-1= 1/x
The solution is x=(1+sqrt(13))/6 ,x=(1-sqrt(13))/6