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

The answer to solvefor x,9-1/x =x is x=(9+sqrt(77))/2 ,x=(9-sqrt(77))/2

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solvefor x,9-1/x =x

solve for

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

x = \frac{9 + 77}{2}, x = \frac{9 - 77}{2}

Solution steps

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

Multiply both sides by

x

9 x - 1 = x^{2}

Solve

9 x - 1 = x^{2} : x = \frac{9 + 77}{2}, x = \frac{9 - 77}{2}

x = \frac{9 + 77}{2}, x = \frac{9 - 77}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9 + 77}{2}, x = \frac{9 - 77}{2}

4 x^{- 2} - 7 x^{- 1} - 15 = 0

81 = \frac{64}{x ^{2}}

(3 x + 5)^{2} = \frac{- 1}{9 x + 15}

\frac{2}{x + 1} = 4 - \frac{2 x}{x + 1}

\frac{1}{x} = \frac{7}{300}

What is the answer to solvefor x,9-1/x =x ?
The answer to solvefor x,9-1/x =x is x=(9+sqrt(77))/2 ,x=(9-sqrt(77))/2