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

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

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

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Multiply by LCM

2 x - 1 = 0

Move

1

to the right side

2 x = 1

Divide both sides by

2

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{2}

\frac{5}{2 y} - \frac{1}{y} = \frac{3}{4}

x - \frac{7}{x - 8} = 2 x

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

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

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

What is the answer to 1/x+(x-1)/(x^2)=0 ?
The answer to 1/x+(x-1)/(x^2)=0 is x= 1/2
Solve for x: 1/x+(x-1)/(x^2)=0
The solution is x= 1/2