What is the answer to n+2/n = 19/3 ?

The answer to n+2/n = 19/3 is n=6,n= 1/3

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n+2/n = 19/3

n + \frac{2}{n} = \frac{19}{3}

n = 6, n = \frac{1}{3}

Decimal Notation

n = 6, n = 0.33333 \dots

Solution steps

n + \frac{2}{n} = \frac{19}{3}

Multiply by LCM

3 n^{2} + 6 = 19 n

Solve

3 n^{2} + 6 = 19 n : n = 6, n = \frac{1}{3}

n = 6, n = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

n = 0

Combine undefined points with solutions:

n = 6, n = \frac{1}{3}

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

x - \frac{2}{x + 1} = \frac{5}{x + 1} - 7

\frac{500}{b ^{2}} = 197.7 + b 10.4

\frac{1}{x + 8} + \frac{16}{x ^{2} - 64} = 1

\frac{3}{x} = \frac{x + 1}{2}