What is the answer to 8/(x^2)+1= 9/x ?

The answer to 8/(x^2)+1= 9/x is x=8,x=1

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8/(x^2)+1= 9/x

\frac{8}{x ^{2}} + 1 = \frac{9}{x}

x = 8, x = 1

Solution steps

\frac{8}{x ^{2}} + 1 = \frac{9}{x}

Multiply by LCM

8 + x^{2} = 9 x

Solve

8 + x^{2} = 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{1}{x + 9} - 1 = \frac{x}{x + 9}

\frac{1}{2 x} + \frac{3}{x + 7} = \frac{- 1}{x}

\frac{2}{x} + \frac{5}{3 x} = 5

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

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