What is the answer to 3x-2/x =4 ?

The answer to 3x-2/x =4 is x=(2+sqrt(10))/3 ,x=(2-sqrt(10))/3

Solve for x: 3x-2/x =4

The solution is x=(2+sqrt(10))/3 ,x=(2-sqrt(10))/3

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

x = \frac{2 + 10}{3}, x = \frac{2 - 10}{3}

Decimal Notation

x = 1.72075 \dots, x = - 0.38742 \dots

Solution steps

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

Multiply both sides by

x

3 x^{2} - 2 = 4 x

Solve

3 x^{2} - 2 = 4 x : x = \frac{2 + 10}{3}, x = \frac{2 - 10}{3}

x = \frac{2 + 10}{3}, x = \frac{2 - 10}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2 + 10}{3}, x = \frac{2 - 10}{3}

0 = (x + 28) (1 - \frac{4032}{x ^{3}})

\frac{1}{x} = \frac{3}{4}

\frac{a - 5}{a x + 6} = 1

\frac{30}{y} = \frac{75}{135}

\frac{3}{x - 2} = \frac{1}{x + 2}

What is the answer to 3x-2/x =4 ?
The answer to 3x-2/x =4 is x=(2+sqrt(10))/3 ,x=(2-sqrt(10))/3
Solve for x: 3x-2/x =4
The solution is x=(2+sqrt(10))/3 ,x=(2-sqrt(10))/3