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

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

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2x-1= 1/x

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

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

Decimal Notation

x = 1, x = - 0.5

Solution steps

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

Multiply both sides by

x

2 x^{2} - x = 1

Solve

2 x^{2} - x = 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}

\frac{4}{7} = \frac{8}{x}

A, C = \frac{kW}{D A T}

\frac{7 x}{( 1 - x )} = 500

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

\frac{6}{x} = 1