What is the answer to x/2+1=(24)/x ?

The answer to x/2+1=(24)/x is x=6,x=-8

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x/2+1=(24)/x

\frac{x}{2} + 1 = \frac{24}{x}

x = 6, x = - 8

Solution steps

\frac{x}{2} + 1 = \frac{24}{x}

Multiply by LCM

x^{2} + 2 x = 48

Solve

x^{2} + 2 x = 48 : x = 6, x = - 8

x = 6, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = - 8

\frac{9 + 2}{3 x} = 81

q, p = \frac{r}{q}

\frac{1}{x - 1} - \frac{3}{x + 3} = 0

\frac{10}{6} = \frac{5}{x}

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