What is the answer to 1/((1/x-1/3))+1/((1/x-1/3))=x^3 ?

The answer to 1/((1/x-1/3))+1/((1/x-1/3))=x^3 is x\approx-1.19582…

Solve for x: 1/((1/x-1/3))+1/((1/x-1/3))=x^3

The solution is x\approx-1.19582…

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\frac{1}{( \frac{1}{x} - \frac{1}{3} )} + \frac{1}{( \frac{1}{x} - \frac{1}{3} )} = x^{3}

x \approx - 1.19582 \dots

Solution steps

\frac{1}{( \frac{1}{x} - \frac{1}{3} )} + \frac{1}{( \frac{1}{x} - \frac{1}{3} )} = x^{3}

Simplify

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

Multiply both sides by

3 - x

6 x = x^{3} (3 - x)

Solve

6 x = x^{3} (3 - x) : x = 0, x \approx - 1.19582 \dots

x = 0, x \approx - 1.19582 \dots

Verify Solutions

Find undefined (singularity) points:

x = 3, x = 0

Since the equation is undefined for:

0

x \approx - 1.19582 \dots

\frac{0.6}{x} = \frac{0.3}{2}

\frac{y ^{2} + 1}{3 \cdot y} = 2

\frac{0.009}{x} = 0.01

\frac{x}{x} = \frac{x}{12}

x^{- 4} x + 7 = 0

What is the answer to 1/((1/x-1/3))+1/((1/x-1/3))=x^3 ?
The answer to 1/((1/x-1/3))+1/((1/x-1/3))=x^3 is x\approx-1.19582…
Solve for x: 1/((1/x-1/3))+1/((1/x-1/3))=x^3
The solution is x\approx-1.19582…