What is the answer to n-3/n = 26/3 ?

The answer to n-3/n = 26/3 is n=9,n=-1/3

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n-3/n = 26/3

n - \frac{3}{n} = \frac{26}{3}

n = 9, n = - \frac{1}{3}

Decimal

n = 9, n = - 0.33333 \dots

Solution steps

n - \frac{3}{n} = \frac{26}{3}

Multiply by LCM

3 n^{2} - 9 = 26 n

Solve

3 n^{2} - 9 = 26 n : n = 9, n = - \frac{1}{3}

n = 9, n = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

n = 0

Combine undefined points with solutions:

n = 9, n = - \frac{1}{3}

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

\frac{2}{3 x} = \frac{1}{4} - \frac{1}{6 x}

p, \frac{p}{1 - p} = c e^{t}

\frac{1}{6} + \frac{1}{8} = \frac{1}{x}

\frac{4 x - 5}{7 x} = 3