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

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

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2x-1/x =1

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

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

Decimal Notation

x = 1, x = - 0.5

Solution steps

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

Multiply both sides by

x

2 x^{2} - 1 = x

Solve

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

\frac{7}{x - 3} = 2

\frac{1}{3 x - 4} + \frac{1}{5 x + 9} = 6

\frac{4}{2 x + 1} - \frac{1}{3 x - 1} = 5

\frac{16}{9} = \frac{A ^{2} - 9}{A ^{2} - 16}

\frac{12}{7} = \frac{60}{x}