What is the answer to 3x+8/x =14 ?

The answer to 3x+8/x =14 is x=4,x= 2/3

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3x+8/x =14

3 x + \frac{8}{x} = 14

x = 4, x = \frac{2}{3}

Decimal Notation

x = 4, x = 0.66666 \dots

Solution steps

3 x + \frac{8}{x} = 14

Multiply both sides by

x

3 x^{2} + 8 = 14 x

Solve

3 x^{2} + 8 = 14 x : x = 4, x = \frac{2}{3}

x = 4, x = \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4, x = \frac{2}{3}

\frac{- 9}{x} = \frac{x}{- 9}

x, y = \frac{x + 2}{x - 4}

\frac{4}{3 x - 2} = - 2

\frac{21}{x} = \frac{30}{x - 3}

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