What is the answer to (0.49)/x = x/(0.64) ?

The answer to (0.49)/x = x/(0.64) is x= 14/25 ,x=-14/25

Solve for x: (0.49)/x = x/(0.64)

The solution is x= 14/25 ,x=-14/25

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\frac{0.49}{x} = \frac{x}{0.64}

x = \frac{14}{25}, x = - \frac{14}{25}

Decimal Notation

x = 0.56, x = - 0.56

Solution steps

\frac{0.49}{x} = \frac{x}{0.64}

Cross multiply

0.3136 = x^{2}

Solve

0.3136 = x^{2} : x = \frac{14}{25}, x = - \frac{14}{25}

x = \frac{14}{25}, x = - \frac{14}{25}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{14}{25}, x = - \frac{14}{25}

\frac{2}{x} = \frac{7}{9}

\frac{32}{x} = 4

\frac{10}{x} - \frac{3}{x + 5} = 1

x, - \frac{4}{3 x} = 3 p - 3 n

8 - \frac{6}{x} = 5 + \frac{12}{x}

What is the answer to (0.49)/x = x/(0.64) ?
The answer to (0.49)/x = x/(0.64) is x= 14/25 ,x=-14/25
Solve for x: (0.49)/x = x/(0.64)
The solution is x= 14/25 ,x=-14/25