What is the answer to 3x+2(1/x)=5 ?

The answer to 3x+2(1/x)=5 is x=1,x= 2/3

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3x+2(1/x)=5

3 x + 2 (\frac{1}{x}) = 5

x = 1, x = \frac{2}{3}

Decimal Notation

x = 1, x = 0.66666 \dots

Solution steps

3 x + 2 (\frac{1}{x}) = 5

Simplify

2 (\frac{1}{x}) : \frac{2}{x}

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

Multiply both sides by

x

3 x^{2} + 2 = 5 x

Solve

3 x^{2} + 2 = 5 x : x = 1, x = \frac{2}{3}

x = 1, x = \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = \frac{2}{3}

9 \cdot (\frac{1}{6 p})^{2} = 0

0 = \frac{8 - 2 x}{x - 2}

\frac{4.5}{x} = 0.0018

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

\frac{100 \cdot x}{100 + x} = 40