Solve n^3-9n^2 3n-18

Question

Simplify the expression

- 26 n^{3} - 18

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- 2 (13 n^{3} + 9)

Show Solution

n = - \frac{3 1521}{13}

Alternative Form

n \approx - 0.88464

Evaluate

n^{3} - 9 n^{2} \times 3 n - 18

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

n^{3} - 9 n^{2} \times 3 n - 18 = 0

Multiply

More Steps

n^{3} - 27 n^{3} - 18 = 0

Subtract the terms

More Steps

- 26 n^{3} - 18 = 0

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

- 26 n^{3} = 0 + 18

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

- 26 n^{3} = 18

Change the signs on both sides of the equation

26 n^{3} = - 18

Divide both sides

\frac{26 n ^{3}}{26} = \frac{- 18}{26}

Divide the numbers

n^{3} = \frac{- 18}{26}

Divide the numbers

More Steps

n^{3} = - \frac{9}{13}

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

3 n^{3} = 3 - \frac{9}{13}

Calculate

n = 3 - \frac{9}{13}

Solution

More Steps

n = - \frac{3 1521}{13}

Alternative Form

n \approx - 0.88464

Show Solution