What is the answer to 6/x-1/(2x)= 5/(x^2) ?

The answer to 6/x-1/(2x)= 5/(x^2) is x= 10/11

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6/x-1/(2x)= 5/(x^2)

\frac{6}{x} - \frac{1}{2 x} = \frac{5}{x ^{2}}

x = \frac{10}{11}

Decimal Notation

x = 0.90909 \dots

Solution steps

\frac{6}{x} - \frac{1}{2 x} = \frac{5}{x ^{2}}

Multiply by LCM

11 x = 10

Divide both sides by

11

x = \frac{10}{11}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{10}{11}

h, h = 5 - \frac{k}{7 + k}

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

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

y, x^{2} = \frac{x - y}{x + y}

\frac{2 t + 1}{2 t + 3} = \frac{3 t - 1}{3 t + 4}

What is the answer to 6/x-1/(2x)= 5/(x^2) ?
The answer to 6/x-1/(2x)= 5/(x^2) is x= 10/11
Solve for x: 6/x-1/(2x)= 5/(x^2)
The solution is x= 10/11