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

The answer to 1/x+1/3 x=2 is x=3+sqrt(6),x=3-sqrt(6)

Solve for x: 1/x+1/3 x=2

The solution is x=3+sqrt(6),x=3-sqrt(6)

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

x = 3 + 6, x = 3 - 6

Decimal Notation

x = 5.44948 \dots, x = 0.55051 \dots

Solution steps

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

Multiply by LCM

3 + x^{2} = 6 x

Solve

3 + x^{2} = 6 x : x = 3 + 6, x = 3 - 6

x = 3 + 6, x = 3 - 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3 + 6, x = 3 - 6

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

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

\frac{a x + b}{c x + d} = 2

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

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

What is the answer to 1/x+1/3 x=2 ?
The answer to 1/x+1/3 x=2 is x=3+sqrt(6),x=3-sqrt(6)
Solve for x: 1/x+1/3 x=2
The solution is x=3+sqrt(6),x=3-sqrt(6)