What is the answer to 4-3x= 1/x ?

The answer to 4-3x= 1/x is x= 1/3 ,x=1

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4-3x= 1/x

4 - 3 x = \frac{1}{x}

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

Decimal Notation

x = 0.33333 \dots, x = 1

Solution steps

4 - 3 x = \frac{1}{x}

Multiply both sides by

x

4 x - 3 x^{2} = 1

Solve

4 x - 3 x^{2} = 1 : x = \frac{1}{3}, x = 1

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

- \frac{3}{2 x + 1} = \frac{4}{3 x + 1}

6 - \frac{x + 1}{x - 2} = \frac{6}{x}

\frac{2}{x} - \frac{9}{x - 4} + 2 = 0

- \frac{2}{4 x} = \frac{5}{3}

\frac{8}{y - 2} = 2