What is the answer to x+1/x = 17/4 ?

The answer to x+1/x = 17/4 is x=4,x= 1/4

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x+1/x = 17/4

x + \frac{1}{x} = \frac{17}{4}

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

Decimal Notation

x = 4, x = 0.25

Solution steps

x + \frac{1}{x} = \frac{17}{4}

Multiply by LCM

4 x^{2} + 4 = 17 x

Solve

4 x^{2} + 4 = 17 x : x = 4, x = \frac{1}{4}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

0.2 = \frac{x ^{2}}{85 - x}

\frac{n}{n - 3} = \frac{2}{3}

\frac{2}{x + 2} - \frac{7}{x - 5} = 10

x - \frac{6}{x - 5} = 0

\frac{3}{x} = 6