What is the answer to (20-x)/x =x ?

The answer to (20-x)/x =x is x=4,x=-5

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(20-x)/x =x

\frac{20 - x}{x} = x

x = 4, x = - 5

Solution steps

\frac{20 - x}{x} = x

Multiply both sides by

x

20 - x = x^{2}

Solve

20 - x = x^{2} : x = 4, x = - 5

x = 4, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4, x = - 5

\frac{x + 6}{x - 2} = \frac{5}{9}

3 = 2 + \frac{2}{z + 2}

\frac{4}{x} = \frac{13}{4 x} + 3

\frac{5}{x - 4} = \frac{3}{x + 8}

- \frac{2}{x} = \frac{7}{x - 9} - 1