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

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

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x/4 = 1/x

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

x = 2, x = - 2

Solution steps

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

Cross multiply

x^{2} = 4

Solve

x^{2} = 4 : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 2

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

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

\frac{x}{6 x + 3} = 5 x - 8 - 1111 - 55

\frac{a}{h} = \frac{h - a}{3}

\frac{6}{x} = \frac{4}{8}