Solve x^(3)-12x^(2) 5x-24

Question

Simplify the expression

- 59 x^{3} - 24

Show Solution

x = - \frac{2 3 10443}{59}

Alternative Form

x \approx - 0.740946

Evaluate

x^{3} - 12 x^{2} \times 5 x - 24

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

x^{3} - 12 x^{2} \times 5 x - 24 = 0

Multiply

More Steps

x^{3} - 60 x^{3} - 24 = 0

Subtract the terms

More Steps

- 59 x^{3} - 24 = 0

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

- 59 x^{3} = 0 + 24

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

- 59 x^{3} = 24

Change the signs on both sides of the equation

59 x^{3} = - 24

Divide both sides

\frac{59 x ^{3}}{59} = \frac{- 24}{59}

Divide the numbers

x^{3} = \frac{- 24}{59}

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

x^{3} = - \frac{24}{59}

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

3 x^{3} = 3 - \frac{24}{59}

Calculate

x = 3 - \frac{24}{59}

Solution

More Steps

x = - \frac{2 3 10443}{59}

Alternative Form

x \approx - 0.740946

Show Solution