What is the answer to x+(10)/x =-11 ?

The answer to x+(10)/x =-11 is x=-1,x=-10

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x+(10)/x =-11

x + \frac{10}{x} = - 11

x = - 1, x = - 10

Solution steps

x + \frac{10}{x} = - 11

Multiply both sides by

x

x^{2} + 10 = - 11 x

Solve

x^{2} + 10 = - 11 x : x = - 1, x = - 10

x = - 1, x = - 10

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1, x = - 10

x, 0 = 2 + \frac{1}{x + 1}

30 = \frac{1 9 ^{2}}{4 x - 20}

\frac{3}{b} = 9

\frac{( x - 5 )}{( x ^{2} - 4 )} = 0

\frac{- 5 x}{x ^{2} - 4} = - 3