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

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

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2x-1/x-1=0

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

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

Decimal Notation

x = 1, x = - 0.5

Solution steps

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

Multiply both sides by

x

2 x^{2} - 1 - x = 0

Solve

2 x^{2} - 1 - x = 0 : 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}

y, \frac{3}{3 x + y} = 1

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

\frac{1}{2 k} = \frac{1}{2} - \frac{5}{k}

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

6 - \frac{4}{x ^{2}} = 0