What is the answer to 6/x+x/2 =4 ?

The answer to 6/x+x/2 =4 is x=6,x=2

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6/x+x/2 =4

\frac{6}{x} + \frac{x}{2} = 4

x = 6, x = 2

Solution steps

\frac{6}{x} + \frac{x}{2} = 4

Multiply by LCM

12 + x^{2} = 8 x

Solve

12 + x^{2} = 8 x : x = 6, x = 2

x = 6, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = 2

\frac{6}{x - 8} = 3 x

- \frac{2}{x} = - \frac{5}{x - 6}

\frac{a}{b} = \frac{c}{d + x}

x^{- 2} - 2 x^{- 1} - 35 = 0

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