What is the answer to -1/(x^2)+1/x =0 ?

The answer to -1/(x^2)+1/x =0 is x=1

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-1/(x^2)+1/x =0

- \frac{1}{x ^{2}} + \frac{1}{x} = 0

x = 1

Solution steps

- \frac{1}{x ^{2}} + \frac{1}{x} = 0

Multiply by LCM

- 1 + x = 0

Move

1

to the right side

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1

x + \frac{8}{x - 2} = 1 + \frac{4 x}{x - 2}

x + \frac{9}{2 x} = \frac{27}{4}

\frac{2 x + 5}{2} - \frac{3 x}{x - 2} = x

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

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