What is the answer to x+1/x =2 1/12 ?

The answer to x+1/x =2 1/12 is x=1 1/3 ,x= 3/4

Solve for x: x+1/x =2 1/12

The solution is x=1 1/3 ,x= 3/4

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x + \frac{1}{x} = 2 \frac{1}{12}

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

Decimal Notation

x = 1.33333 \dots, x = 0.75

Solution steps

x + \frac{1}{x} = 2 \frac{1}{12}

Convert mixed numbers to improper fractions:

2 \frac{1}{12} = \frac{25}{12}

x + \frac{1}{x} = \frac{25}{12}

Multiply by LCM

12 x^{2} + 12 = 25 x

Solve

12 x^{2} + 12 = 25 x : x = \frac{4}{3}, x = \frac{3}{4}

x = \frac{4}{3}, x = \frac{3}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{4}{3}, x = \frac{3}{4}

Convert improper fractions to mixed numbers:

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

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

\frac{( 2 x - 3 )}{( x + 7 ) - 6 !} = 0

\frac{10}{t} = 5

\frac{2 ( - x ^{2} + 18 )}{x ^{5}} = 0

\frac{a}{a + 2} = \frac{3}{5}

x + \frac{1}{x} = 2 \frac{1}{20}

What is the answer to x+1/x =2 1/12 ?
The answer to x+1/x =2 1/12 is x=1 1/3 ,x= 3/4
Solve for x: x+1/x =2 1/12
The solution is x=1 1/3 ,x= 3/4