What is the answer to 4/x = 4/(x^2) ?

The answer to 4/x = 4/(x^2) is x=1

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4/x = 4/(x^2)

\frac{4}{x} = \frac{4}{x ^{2}}

x = 1

Solution steps

\frac{4}{x} = \frac{4}{x ^{2}}

Cross multiply

4 x^{2} = x \cdot 4

Solve

4 x^{2} = x \cdot 4 : x = 0, x = 1

x = 0, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = 1

\frac{1}{2} = \frac{4}{h}

5 - \frac{7}{y} = - \frac{2}{y ^{2}}

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

3 x + \frac{75}{x} = - 5

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