What is the answer to r/2-1= 4/r ?

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

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r/2-1= 4/r

\frac{r}{2} - 1 = \frac{4}{r}

r = 4, r = - 2

Solution steps

\frac{r}{2} - 1 = \frac{4}{r}

Multiply by LCM

r^{2} - 2 r = 8

Solve

r^{2} - 2 r = 8 : r = 4, r = - 2

r = 4, r = - 2

Verify Solutions

Find undefined (singularity) points:

r = 0

Combine undefined points with solutions:

r = 4, r = - 2

\frac{x + 2}{8} = \frac{9}{x + 8}

\frac{18}{x - 6} + 2 = \frac{6}{x - 6}

\frac{2}{x} - 3 = 1

\frac{4}{9 y - 10} = - 6

\frac{1920}{100} = \frac{400}{x}