What is the answer to x+8/(2x)=5 ?

The answer to x+8/(2x)=5 is x=4,x=1

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x+8/(2x)=5

x + \frac{8}{2 x} = 5

x = 4, x = 1

Solution steps

x + \frac{8}{2 x} = 5

Simplify

\frac{8}{2 x} : \frac{4}{x}

x + \frac{4}{x} = 5

Multiply both sides by

x

x^{2} + 4 = 5 x

Solve

x^{2} + 4 = 5 x : x = 4, x = 1

x = 4, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4, x = 1

\frac{2500}{30 ( 0.3 + x )} = 210

24 = \frac{175 k}{5 k + 50}

\frac{3 ( y + 3 )}{y + 1} + 2 = \frac{3 y + 1}{y + 1}

\frac{12}{x ^{3}} = 0

\frac{x - 4}{5 x} = \frac{1}{5 x} + 1