Solve 7k^3-14k^28k-16

Question

Simplify the expression

- 105 k^{3} - 16

Show Solution

k = - \frac{2 3 22050}{105}

Alternative Form

k \approx - 0.534126

Evaluate

7 k^{3} - 14 k^{2} \times 8 k - 16

To find the roots of the expression,set the expression equal to 0

7 k^{3} - 14 k^{2} \times 8 k - 16 = 0

Multiply

More Steps

7 k^{3} - 112 k^{3} - 16 = 0

Subtract the terms

More Steps

- 105 k^{3} - 16 = 0

Move the constant to the right-hand side and change its sign

- 105 k^{3} = 0 + 16

Removing 0 doesn't change the value,so remove it from the expression

- 105 k^{3} = 16

Change the signs on both sides of the equation

105 k^{3} = - 16

Divide both sides

\frac{105 k ^{3}}{105} = \frac{- 16}{105}

Divide the numbers

k^{3} = \frac{- 16}{105}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

k^{3} = - \frac{16}{105}

Take the 3 -th root on both sides of the equation

3 k^{3} = 3 - \frac{16}{105}

Calculate

k = 3 - \frac{16}{105}

Solution

More Steps

k = - \frac{2 3 22050}{105}

Alternative Form

k \approx - 0.534126

Show Solution