What is the answer to x^3+3=(16)/(x^2-3) ?

The answer to x^3+3=(16)/(x^2-3) is x\approx 2.08125…

Solve for x: x^3+3=(16)/(x^2-3)

The solution is x\approx 2.08125…

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x^{3} + 3 = \frac{16}{x ^{2} - 3}

x \approx 2.08125 \dots

Solution steps

x^{3} + 3 = \frac{16}{x ^{2} - 3}

Multiply both sides by

x^{2} - 3

x^{3} (x^{2} - 3) + 3 (x^{2} - 3) = 16

Solve

x^{3} (x^{2} - 3) + 3 (x^{2} - 3) = 16 : x \approx 2.08125 \dots

x \approx 2.08125 \dots

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 3

Combine undefined points with solutions:

x \approx 2.08125 \dots

\frac{3 x - 5}{x + 3} = 1

\frac{x}{2 x - 3} = \frac{3 x}{x + 11}

\frac{5}{b} = \frac{3}{b - 6}

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

\frac{2}{5} = \frac{8}{x}

What is the answer to x^3+3=(16)/(x^2-3) ?
The answer to x^3+3=(16)/(x^2-3) is x\approx 2.08125…
Solve for x: x^3+3=(16)/(x^2-3)
The solution is x\approx 2.08125…