What is the answer to x+8/x =9 ?

The answer to x+8/x =9 is x=8,x=1

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x+8/x =9

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

x = 8, x = 1

Solution steps

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

Multiply both sides by

x

x^{2} + 8 = 9 x

Solve

x^{2} + 8 = 9 x : x = 8, x = 1

x = 8, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 8, x = 1

\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

- 2 x^{- 3} = 0