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

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

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(x+2)/4 = 2/x

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

x = 2, x = - 4

Solution steps

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

Cross multiply

(x + 2) x = 8

Solve

(x + 2) x = 8 : x = 2, x = - 4

x = 2, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 4

\frac{2}{x} = \frac{5}{10}

x, \frac{2 ( y + 3 )}{x} = 2 w

\frac{15}{20} = \frac{3}{k}

R^{3} = 5 + \frac{H}{a}

37.5 = \frac{150 x}{200 - x}