What is the answer to x+1/x =3 11/14 ?

The answer to x+1/x =3 11/14 is x=3 1/2 ,x= 2/7

Solve for x: x+1/x =3 11/14

The solution is x=3 1/2 ,x= 2/7

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x + \frac{1}{x} = 3 \frac{11}{14}

x = 3 \frac{1}{2}, x = \frac{2}{7}

Decimal Notation

x = 3.5, x = 0.28571 \dots

Solution steps

x + \frac{1}{x} = 3 \frac{11}{14}

Convert mixed numbers to improper fractions:

3 \frac{11}{14} = \frac{53}{14}

x + \frac{1}{x} = \frac{53}{14}

Multiply by LCM

14 x^{2} + 14 = 53 x

Solve

14 x^{2} + 14 = 53 x : x = \frac{7}{2}, x = \frac{2}{7}

x = \frac{7}{2}, x = \frac{2}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{7}{2}, x = \frac{2}{7}

Convert improper fractions to mixed numbers:

\frac{7}{2} = 3 \frac{1}{2}

x = 3 \frac{1}{2}, x = \frac{2}{7}

(x - 2)^{- 1} = x^{- 1} + x

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

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

\frac{3}{x} = x

x, y = \frac{x}{x + 2}

What is the answer to x+1/x =3 11/14 ?
The answer to x+1/x =3 11/14 is x=3 1/2 ,x= 2/7
Solve for x: x+1/x =3 11/14
The solution is x=3 1/2 ,x= 2/7