What is the answer to 5-x/2 =(12)/x ?

The answer to 5-x/2 =(12)/x is x=4,x=6

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5-x/2 =(12)/x

5 - \frac{x}{2} = \frac{12}{x}

x = 4, x = 6

Solution steps

5 - \frac{x}{2} = \frac{12}{x}

Multiply by LCM

10 x - x^{2} = 24

Solve

10 x - x^{2} = 24 : x = 4, x = 6

x = 4, x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4, x = 6

x, \frac{6 y + 1}{x} = 6

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

\frac{784}{0.448 \cdot x} = 0.5

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

y, x = \frac{3 - y}{y - 1}