What is the answer to (13)/(x^2)-2/x = 1/x ?

The answer to (13)/(x^2)-2/x = 1/x is x= 13/3

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(13)/(x^2)-2/x = 1/x

\frac{13}{x ^{2}} - \frac{2}{x} = \frac{1}{x}

x = \frac{13}{3}

Decimal Notation

x = 4.33333 \dots

Solution steps

\frac{13}{x ^{2}} - \frac{2}{x} = \frac{1}{x}

Multiply by LCM

13 - 2 x = x

Move

13

to the right side

- 2 x = x - 13

Move

x

to the left side

- 3 x = - 13

Divide both sides by

- 3

x = \frac{13}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{13}{3}

\frac{( 2 x )}{( x - 2 )} - \frac{3}{( x - 3 )} = - \frac{3}{( x ^{2} - 5 x + 6 )}

\frac{13}{4 x - 5} = \frac{31}{3}

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

x^{- 4} - 10 x^{- 2} + 9 = 0

a, (p + 4) - \frac{( 2 p )}{a} = 8

What is the answer to (13)/(x^2)-2/x = 1/x ?
The answer to (13)/(x^2)-2/x = 1/x is x= 13/3
Solve for x: (13)/(x^2)-2/x = 1/x
The solution is x= 13/3