What is the answer to 1/x+x/2 = 11/6 ?

The answer to 1/x+x/2 = 11/6 is x=3,x= 2/3

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1/x+x/2 = 11/6

\frac{1}{x} + \frac{x}{2} = \frac{11}{6}

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

Decimal Notation

x = 3, x = 0.66666 \dots

Solution steps

\frac{1}{x} + \frac{x}{2} = \frac{11}{6}

Multiply by LCM

6 + 3 x^{2} = 11 x

Solve

6 + 3 x^{2} = 11 x : x = 3, x = \frac{2}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

- 5 - \frac{8}{x - 1} = - \frac{6}{x - 1}

\frac{x}{2 x + 7} - \frac{x + 1}{x + 3} = 1

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

\frac{4 x + 1}{x + 1} - 3 = \frac{12}{x ^{2} - 1}

\frac{3 x}{x + 1} = \frac{12}{x ^{2} - 1} + 2

What is the answer to 1/x+x/2 = 11/6 ?
The answer to 1/x+x/2 = 11/6 is x=3,x= 2/3
Solve for x: 1/x+x/2 = 11/6
The solution is x=3,x= 2/3