What is the answer to (24-x)/x = x/(36-x) ?

The answer to (24-x)/x = x/(36-x) is x= 72/5

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(24-x)/x = x/(36-x)

\frac{24 - x}{x} = \frac{x}{36 - x}

x = \frac{72}{5}

Decimal Notation

x = 14.4

Solution steps

\frac{24 - x}{x} = \frac{x}{36 - x}

Cross multiply

864 - 60 x + x^{2} = x^{2}

Move

864

to the right side

- 60 x + x^{2} = x^{2} - 864

Move

x^{2}

to the left side

- 60 x = - 864

Divide both sides by

- 60

x = \frac{72}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 36

Combine undefined points with solutions:

x = \frac{72}{5}

2 + \frac{6}{y} = \frac{7}{5}

\frac{1}{( x + 1 ) ^{3}} = 0

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

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

\frac{x}{2} + 1 = \frac{24}{x}

What is the answer to (24-x)/x = x/(36-x) ?
The answer to (24-x)/x = x/(36-x) is x= 72/5
Solve for x: (24-x)/x = x/(36-x)
The solution is x= 72/5