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

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

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n+1/n = 17/4

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

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

Decimal Notation

n = 4, n = 0.25

Solution steps

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

Multiply by LCM

4 n^{2} + 4 = 17 n

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

n = 0

Combine undefined points with solutions:

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

\frac{3}{4} = \frac{3.5 - x}{x}

e^{- 1} = 0.3679

\frac{16}{x} = 25

x = 3 \frac{4 ( x - 1 )}{5 x - 11}

\frac{1}{3} = \frac{1}{( 4 + x )}