What is the answer to 0=2x-1-1/x ?

The answer to 0=2x-1-1/x is x=1,x=-1/2

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0=2x-1-1/x

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

x = 1, x = - \frac{1}{2}

Decimal Notation

x = 1, x = - 0.5

Solution steps

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

Move

1

to the left side

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

Multiply both sides by

x

x = 2 x^{2} - 1

Solve

x = 2 x^{2} - 1 : x = 1, x = - \frac{1}{2}

x = 1, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - \frac{1}{2}

x, \frac{w}{k x} = y

\frac{6}{x + 5} = - 5

\frac{5}{x ^{2}} - \frac{10}{x} + 2 = 0

\frac{1}{x - 1} + 1 = - \frac{7 x}{x - 1}

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