What is the answer to 5x-1/x =4 ?

The answer to 5x-1/x =4 is x=1,x=-1/5

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5x-1/x =4

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

x = 1, x = - \frac{1}{5}

Decimal Notation

x = 1, x = - 0.2

Solution steps

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

Multiply both sides by

x

5 x^{2} - 1 = 4 x

Solve

5 x^{2} - 1 = 4 x : x = 1, x = - \frac{1}{5}

x = 1, x = - \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - \frac{1}{5}

4 x - \frac{36}{x} = 0

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

\frac{2}{x} = \frac{8}{32}

- \frac{8}{y + 8} = - 5

x^{3} + \frac{27}{x ^{3}} = 28