What is the answer to 9-x^2= 1/x ?

The answer to 9-x^2= 1/x is x\approx 0.11126…,x\approx 2.94282…,x\approx-3.05408…

Solve for x: 9-x^2= 1/x

The solution is x\approx 0.11126…,x\approx 2.94282…,x\approx-3.05408…

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

x \approx 0.11126 \dots, x \approx 2.94282 \dots, x \approx - 3.05408 \dots

Solution steps

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

Multiply both sides by

x

9 x - x^{3} = 1

Solve

9 x - x^{3} = 1 : x \approx 0.11126 \dots, x \approx 2.94282 \dots, x \approx - 3.05408 \dots

x \approx 0.11126 \dots, x \approx 2.94282 \dots, x \approx - 3.05408 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx 0.11126 \dots, x \approx 2.94282 \dots, x \approx - 3.05408 \dots

- 8 + \frac{5}{x} = - 3 x

\frac{12}{x} - \frac{22}{x - 4} + 4 = 0

\frac{3}{3 x + 2} = \frac{6}{5 x}

x - \frac{x + 5}{x + 6} = \frac{1}{x + 6}

- \frac{6}{x + 2} - 2 = - \frac{x}{x + 2}

What is the answer to 9-x^2= 1/x ?
The answer to 9-x^2= 1/x is x\approx 0.11126…,x\approx 2.94282…,x\approx-3.05408…
Solve for x: 9-x^2= 1/x
The solution is x\approx 0.11126…,x\approx 2.94282…,x\approx-3.05408…