What is the answer to x+1/x =2 1/20 ?

The answer to x+1/x =2 1/20 is x=1 1/4 ,x= 4/5

Solve for x: x+1/x =2 1/20

The solution is x=1 1/4 ,x= 4/5

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

x = 1 \frac{1}{4}, x = \frac{4}{5}

Solution steps

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

Convert mixed numbers to improper fractions:

2 \frac{1}{20} = \frac{41}{20}

x + \frac{1}{x} = \frac{41}{20}

Multiply by LCM

20 x^{2} + 20 = 41 x

Solve

20 x^{2} + 20 = 41 x : x = \frac{5}{4}, x = \frac{4}{5}

x = \frac{5}{4}, x = \frac{4}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{4}, x = \frac{4}{5}

Convert improper fractions to mixed numbers:

\frac{5}{4} = 1 \frac{1}{4}

x = 1 \frac{1}{4}, x = \frac{4}{5}

\frac{1}{\frac{1}{x}} = 0

x, E = \frac{x}{( x + y )}

\frac{8}{n} = \frac{4}{5}

b (x) = \frac{1}{x + 3}, [1, 1 + h (x)]

\frac{x ^{2} - 10 x}{( x - 5 ) ^{2}} = 0

What is the answer to x+1/x =2 1/20 ?
The answer to x+1/x =2 1/20 is x=1 1/4 ,x= 4/5
Solve for x: x+1/x =2 1/20
The solution is x=1 1/4 ,x= 4/5