What is the answer to -12x^{-13}+13x^{-14}=0 ?

The answer to -12x^{-13}+13x^{-14}=0 is x= 13/12

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-12x^{-13}+13x^{-14}=0

- 12 x^{- 13} + 13 x^{- 14} = 0

x = \frac{13}{12}

Decimal Notation

x = 1.08333 \dots

Solution steps

- 12 x^{- 13} + 13 x^{- 14} = 0

Refine

- \frac{12}{x ^{13}} + \frac{13}{x ^{14}} = 0

Multiply by LCM

- 12 x + 13 = 0

Move

13

to the right side

- 12 x = - 13

Divide both sides by

- 12

x = \frac{13}{12}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{13}{12}

\frac{45}{x} = 235

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

\frac{140 + 0.25 x}{x} = 1

1 - \frac{8}{x - 5} = \frac{3}{x}

x^{2} - \frac{3}{x} = 7

What is the answer to -12x^{-13}+13x^{-14}=0 ?
The answer to -12x^{-13}+13x^{-14}=0 is x= 13/12
Solve for x: -12x^{-13}+13x^{-14}=0
The solution is x= 13/12