What is the answer to 4x-1/x =0 ?

The answer to 4x-1/x =0 is x= 1/2 ,x=-1/2

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4x-1/x =0

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

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

Decimal Notation

x = 0.5, x = - 0.5

Solution steps

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

Multiply both sides by

x

4 x^{2} - 1 = 0

Solve

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

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

\frac{5 x}{2} + \frac{4}{x + 8} = 1

\frac{2 x + 2}{2} = \frac{50}{2 x + 2}

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

\frac{t + 13}{t - 2} = t - 3, - 1