What is the answer to (2.25)/x = x/(1.68) ?

The answer to (2.25)/x = x/(1.68) is x=(3sqrt(21))/(5sqrt(2)),x=-(3sqrt(21))/(5sqrt(2))

Solve for x: (2.25)/x = x/(1.68)

The solution is x=(3sqrt(21))/(5sqrt(2)),x=-(3sqrt(21))/(5sqrt(2))

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\frac{2.25}{x} = \frac{x}{1.68}

x = \frac{3 21}{5 2}, x = - \frac{3 21}{5 2}

Decimal Notation

x = 1.94422 \dots, x = - 1.94422 \dots

Solution steps

\frac{2.25}{x} = \frac{x}{1.68}

Cross multiply

3.78 = x^{2}

Solve

3.78 = x^{2} : x = \frac{3 21}{5 2}, x = - \frac{3 21}{5 2}

x = \frac{3 21}{5 2}, x = - \frac{3 21}{5 2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3 21}{5 2}, x = - \frac{3 21}{5 2}

\frac{a - b}{b} = \frac{a - x}{x}

x + \frac{12}{x} = - 7

\frac{x - 55}{x} = \frac{31}{100}

\frac{2 x ^{2}}{( x + 1 ) - x + 1} = 0

\frac{7}{4 x - 3} = \frac{2}{x + 3}

What is the answer to (2.25)/x = x/(1.68) ?
The answer to (2.25)/x = x/(1.68) is x=(3sqrt(21))/(5sqrt(2)),x=-(3sqrt(21))/(5sqrt(2))
Solve for x: (2.25)/x = x/(1.68)
The solution is x=(3sqrt(21))/(5sqrt(2)),x=-(3sqrt(21))/(5sqrt(2))