What is the answer to 5/(x^2)-(54)/x =11 ?

The answer to 5/(x^2)-(54)/x =11 is x= 1/11 ,x=-5

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5/(x^2)-(54)/x =11

\frac{5}{x ^{2}} - \frac{54}{x} = 11

x = \frac{1}{11}, x = - 5

Decimal Notation

x = 0.09090 \dots, x = - 5

Solution steps

\frac{5}{x ^{2}} - \frac{54}{x} = 11

Multiply by LCM

5 - 54 x = 11 x^{2}

Solve

5 - 54 x = 11 x^{2} : x = \frac{1}{11}, x = - 5

x = \frac{1}{11}, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{11}, x = - 5

\frac{5}{x ^{2} - 9} - \frac{2}{x ^{2} - 4} = 0

y = \frac{y}{y}

- 2 = \frac{10 - 20}{x}

\frac{x ^{2} - 6}{x - 3} = \frac{x}{x - 3}

\frac{1}{x} + \frac{1}{5 x} = 6

What is the answer to 5/(x^2)-(54)/x =11 ?
The answer to 5/(x^2)-(54)/x =11 is x= 1/11 ,x=-5
Solve for x: 5/(x^2)-(54)/x =11
The solution is x= 1/11 ,x=-5