What is the answer to 8x-9/x =1 ?

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

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8x-9/x =1

8 x - \frac{9}{x} = 1

x = \frac{9}{8}, x = - 1

Decimal Notation

x = 1.125, x = - 1

Solution steps

8 x - \frac{9}{x} = 1

Multiply both sides by

x

8 x^{2} - 9 = x

Solve

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

x = \frac{9}{8}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{8}, x = - 1

\frac{6}{x + 16} = \frac{7}{3 x + 3}

\frac{7}{x - 3} = \frac{7}{3}

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

y, 4 y = \frac{6 + x ^{5}}{x ^{5} y}

5 - \frac{400}{x ^{2}} = 0