What is the answer to x+1/x = 13/6 ?

The answer to x+1/x = 13/6 is x= 3/2 ,x= 2/3

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x+1/x = 13/6

x + \frac{1}{x} = \frac{13}{6}

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

Decimal Notation

x = 1.5, x = 0.66666 \dots

Solution steps

x + \frac{1}{x} = \frac{13}{6}

Multiply by LCM

6 x^{2} + 6 = 13 x

Solve

6 x^{2} + 6 = 13 x : x = \frac{3}{2}, x = \frac{2}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{6}{x} = 7 - 2 x

\frac{3}{3 - a} = 1 - \frac{3}{a}

\frac{26}{57} = \frac{849}{5 x}

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

y, s (y) = \frac{3 y}{y + 5}

What is the answer to x+1/x = 13/6 ?
The answer to x+1/x = 13/6 is x= 3/2 ,x= 2/3
Solve for x: x+1/x = 13/6
The solution is x= 3/2 ,x= 2/3