What is the answer to x=(24)/x+1/5 ?

The answer to x=(24)/x+1/5 is x=5,x=-24/5

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x=(24)/x+1/5

x = \frac{24}{x} + \frac{1}{5}

x = 5, x = - \frac{24}{5}

Decimal Notation

x = 5, x = - 4.8

Solution steps

x = \frac{24}{x} + \frac{1}{5}

Multiply by LCM

5 x^{2} = 120 + x

Solve

5 x^{2} = 120 + x : x = 5, x = - \frac{24}{5}

x = 5, x = - \frac{24}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5, x = - \frac{24}{5}

\frac{x}{2} = \frac{4}{x + 9 x ^{3}}

x + \frac{3}{x} = 5

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

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

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