What is the answer to 5/x-4=x ?

The answer to 5/x-4=x is x=1,x=-5

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5/x-4=x

\frac{5}{x} - 4 = x

x = 1, x = - 5

Solution steps

\frac{5}{x} - 4 = x

Multiply both sides by

x

5 - 4 x = x^{2}

Solve

5 - 4 x = x^{2} : x = 1, x = - 5

x = 1, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 5

x + \frac{8}{x} = 9

\frac{9}{3 x} = \frac{- 6}{2}

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

\frac{1}{x - 4} = \frac{5 - x}{x - 4} - 5

\frac{161040}{x} = 134200