What is the answer to x/3-2= 6/x ?

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

Solve for x: x/3-2= 6/x

The solution is x=3(1+sqrt(3)),x=3(1-sqrt(3))

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\frac{x}{3} - 2 = \frac{6}{x}

x = 3 (1 + 3), x = 3 (1 - 3)

Decimal Notation

x = 8.19615 \dots, x = - 2.19615 \dots

Solution steps

\frac{x}{3} - 2 = \frac{6}{x}

Multiply by LCM

x^{2} - 6 x = 18

Solve

x^{2} - 6 x = 18 : x = 3 (1 + 3), x = 3 (1 - 3)

x = 3 (1 + 3), x = 3 (1 - 3)

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3 (1 + 3), x = 3 (1 - 3)

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

t, q = \frac{k w}{ab c t}

\frac{x + 4}{x + 3} = 0

\frac{x - 1}{4} = \frac{2}{x + 1}

\frac{11}{x} = \frac{12}{x + 1}

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