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

The answer to x/(x+4)= 2/x is x=4,x=-2

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x/(x+4)= 2/x

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

x = 4, x = - 2

Solution steps

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

Cross multiply

x^{2} = (x + 4) \cdot 2

Solve

x^{2} = (x + 4) \cdot 2 : x = 4, x = - 2

x = 4, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 0

Combine undefined points with solutions:

x = 4, x = - 2

\frac{7}{n} = \frac{8}{7}

\frac{x - 1}{x - 5} = \frac{5}{7}

6 x - 13 - \frac{28}{x} = 0

1 - \frac{1}{x ^{2}} = 0

\frac{d}{b} = \frac{n ^{3}}{q}