What is the answer to x^{-3}-9x^2+8=0 ?

The answer to x^{-3}-9x^2+8=0 is x=1,x\approx-0.83582…,x\approx-0.59013…

Solve for x: x^{-3}-9x^2+8=0

The solution is x=1,x\approx-0.83582…,x\approx-0.59013…

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x^{- 3} - 9 x^{2} + 8 = 0

x = 1, x \approx - 0.83582 \dots, x \approx - 0.59013 \dots

Solution steps

x^{- 3} - 9 x^{2} + 8 = 0

Refine

\frac{1}{x ^{3}} - 9 x^{2} + 8 = 0

Multiply both sides by

x^{3}

1 - 9 x^{5} + 8 x^{3} = 0

Solve

1 - 9 x^{5} + 8 x^{3} = 0 : x = 1, x \approx - 0.83582 \dots, x \approx - 0.59013 \dots

x = 1, x \approx - 0.83582 \dots, x \approx - 0.59013 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x \approx - 0.83582 \dots, x \approx - 0.59013 \dots

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

T, f = \frac{1}{T}

\frac{4}{x} = \frac{2}{19}

- \frac{2}{7} = \frac{12}{x}

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

What is the answer to x^{-3}-9x^2+8=0 ?
The answer to x^{-3}-9x^2+8=0 is x=1,x\approx-0.83582…,x\approx-0.59013…
Solve for x: x^{-3}-9x^2+8=0
The solution is x=1,x\approx-0.83582…,x\approx-0.59013…