What is the answer to x+1/x = 10/3 ?

The answer to x+1/x = 10/3 is x=3,x= 1/3

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x+1/x = 10/3

x + \frac{1}{x} = \frac{10}{3}

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

Decimal Notation

x = 3, x = 0.33333 \dots

Solution steps

x + \frac{1}{x} = \frac{10}{3}

Multiply by LCM

3 x^{2} + 3 = 10 x

Solve

3 x^{2} + 3 = 10 x : x = 3, x = \frac{1}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{x}{1 - 3 x ^{6}} = 729

\frac{- 7}{9 - 20 p} = \frac{3}{4}

\frac{2}{w - 5} - \frac{5}{w - 5} = 3

\frac{x + 9}{x ^{2} - 81} = 1

- \frac{10}{x ^{3}} = 0