What is the answer to x-1/3 =32x^{-2} ?

The answer to x-1/3 =32x^{-2} is x\approx 3.28989…

Solve for x: x-1/3 =32x^{-2}

The solution is x\approx 3.28989…

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x - \frac{1}{3} = 32 x^{- 2}

x \approx 3.28989 \dots

Solution steps

x - \frac{1}{3} = 32 x^{- 2}

Refine

x - \frac{1}{3} = \frac{32}{x ^{2}}

Multiply both sides by

x^{2}

x^{3} - \frac{1}{3} x^{2} = 32

Solve

x^{3} - \frac{1}{3} x^{2} = 32 : x \approx 3.28989 \dots

x \approx 3.28989 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx 3.28989 \dots

\frac{x - 9}{2 x} + 2 = \frac{x + 3}{x}

q, e = \frac{f}{q}

\frac{2 a - 12}{a + 5} = - 2

\frac{4 x - 9}{x} = \frac{x - 4}{- 1}

\frac{6}{2 x - 8} = \frac{3}{x - 4}

What is the answer to x-1/3 =32x^{-2} ?
The answer to x-1/3 =32x^{-2} is x\approx 3.28989…
Solve for x: x-1/3 =32x^{-2}
The solution is x\approx 3.28989…