What is the answer to (0.3)/x = x/(27) ?

The answer to (0.3)/x = x/(27) is x= 9/(sqrt(10)),x=-9/(sqrt(10))

Solve for x: (0.3)/x = x/(27)

The solution is x= 9/(sqrt(10)),x=-9/(sqrt(10))

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\frac{0.3}{x} = \frac{x}{27}

x = \frac{9}{10}, x = - \frac{9}{10}

Decimal Notation

x = 2.84604 \dots, x = - 2.84604 \dots

Solution steps

\frac{0.3}{x} = \frac{x}{27}

Cross multiply

8.1 = x^{2}

Solve

8.1 = x^{2} : x = \frac{9}{10}, x = - \frac{9}{10}

x = \frac{9}{10}, x = - \frac{9}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{10}, x = - \frac{9}{10}

1 - \frac{y}{y - 5} = - 3

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

\frac{6}{8} = \frac{3}{x}

\frac{3 x - 1}{6 x + 2} = 4

\frac{3 x}{x + 1} = 8 - \frac{3}{x + 1}

What is the answer to (0.3)/x = x/(27) ?
The answer to (0.3)/x = x/(27) is x= 9/(sqrt(10)),x=-9/(sqrt(10))
Solve for x: (0.3)/x = x/(27)
The solution is x= 9/(sqrt(10)),x=-9/(sqrt(10))