What is the answer to x/2 = 6/x+2 ?

The answer to x/2 = 6/x+2 is x=6,x=-2

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x/2 = 6/x+2

\frac{x}{2} = \frac{6}{x} + 2

x = 6, x = - 2

Solution steps

\frac{x}{2} = \frac{6}{x} + 2

Multiply by LCM

x^{2} = 12 + 4 x

Solve

x^{2} = 12 + 4 x : x = 6, x = - 2

x = 6, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = - 2

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

\frac{3}{4 x + 2} = \frac{2}{8 x - 4}

1.0159 = \frac{( 5.201 + x )}{x}

2 = \frac{x + 8}{x - 10}

0.3 = \frac{1716 - x}{x}