What is the answer to 1/x = x/(2.7) ?

The answer to 1/x = x/(2.7) is x=(3sqrt(3))/(sqrt(10)),x=-(3sqrt(3))/(sqrt(10))

Solve for x: 1/x = x/(2.7)

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

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\frac{1}{x} = \frac{x}{2.7}

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

Decimal Notation

x = 1.64316 \dots, x = - 1.64316 \dots

Solution steps

\frac{1}{x} = \frac{x}{2.7}

Cross multiply

2.7 = x^{2}

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{x}{1 - x} = 10

- \frac{4}{x + 1} - \frac{3}{x} = - 2

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

- \frac{8}{y} = 6

\frac{- 24}{x + 5} = \frac{- 9}{x}

What is the answer to 1/x = x/(2.7) ?
The answer to 1/x = x/(2.7) is x=(3sqrt(3))/(sqrt(10)),x=-(3sqrt(3))/(sqrt(10))
Solve for x: 1/x = x/(2.7)
The solution is x=(3sqrt(3))/(sqrt(10)),x=-(3sqrt(3))/(sqrt(10))