What is the answer to 2x= 1/(2x) ?

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

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2x= 1/(2x)

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

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

Decimal Notation

x = 0.5, x = - 0.5

Solution steps

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

Multiply both sides by

x

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{1}{x} = 8

\frac{4}{x} = \frac{5}{10}

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

4 + \frac{6}{y - 3} = \frac{2 y}{y - 3}

\frac{10}{h} = \frac{52}{13}