What is the answer to x+(11)/x =-12 ?

The answer to x+(11)/x =-12 is x=-1,x=-11

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x+(11)/x =-12

x + \frac{11}{x} = - 12

x = - 1, x = - 11

Solution steps

x + \frac{11}{x} = - 12

Multiply both sides by

x

x^{2} + 11 = - 12 x

Solve

x^{2} + 11 = - 12 x : x = - 1, x = - 11

x = - 1, x = - 11

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1, x = - 11

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

\frac{6 x}{x - 1} + 2 = \frac{6}{x ^{2} - x}

\frac{x ^{2} - 3 x + 2}{2 - x} = 0

\frac{1}{3} - \frac{1}{x} = \frac{5}{6}

\frac{3 - x}{9 x - 2} = 1