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

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

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

The solution is k\approx 2.08125…

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

k \approx 2.08125 \dots

Solution steps

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

Multiply both sides by

k^{2} - 3

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

Solve

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

k \approx 2.08125 \dots

Verify Solutions

Find undefined (singularity) points:

k = 3, k = - 3

Combine undefined points with solutions:

k \approx 2.08125 \dots

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

\frac{3 x + 1}{( 3 x + 1 ) ^{2} + 25} = 0

- \frac{1}{3} = \frac{1}{1 + c}

\frac{20}{x - 1} = \frac{25}{x}

\frac{3}{8} = \frac{12}{x}

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