What is the answer to 6x^{-2}=1-x^{-1} ?

The answer to 6x^{-2}=1-x^{-1} is x=3,x=-2

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6x^{-2}=1-x^{-1}

6 x^{- 2} = 1 - x^{- 1}

x = 3, x = - 2

Solution steps

6 x^{- 2} = 1 - x^{- 1}

Refine

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

Multiply by LCM

6 = x^{2} - x

Solve

6 = x^{2} - x : x = 3, x = - 2

x = 3, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = - 2

t, x = t + \frac{1}{t}

\frac{5 x}{x + 4} = 4 x + 1

N (t) = \frac{10 ( 5 + 3 t )}{1 + 0.04 t}

\frac{8}{x} = 3 x + 2

\frac{8 x}{( x ^{2} - 4 ) ^{2}} = 0

What is the answer to 6x^{-2}=1-x^{-1} ?
The answer to 6x^{-2}=1-x^{-1} is x=3,x=-2
Solve for x: 6x^{-2}=1-x^{-1}
The solution is x=3,x=-2