What is the answer to (20)/x =9-x ?

The answer to (20)/x =9-x is x=4,x=5

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(20)/x =9-x

\frac{20}{x} = 9 - x

x = 4, x = 5

Solution steps

\frac{20}{x} = 9 - x

Multiply both sides by

x

20 = 9 x - x^{2}

Solve

20 = 9 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 + a}{x - a}

\frac{1}{16} = b^{- 2}

x, z = \frac{x}{x + y}

\frac{3}{y ^{4}} - \frac{10}{y ^{2}} - 8 = 0

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