Solve x^3-12x^250x-72

Question

Simplify the expression

- 599 x^{3} - 72

Show Solution

x = - \frac{2 3 179 7 ^{2}}{599}

Alternative Form

x \approx - 0.493517

Evaluate

x^{3} - 12 x^{2} \times 50 x - 72

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

x^{3} - 12 x^{2} \times 50 x - 72 = 0

Multiply

More Steps

x^{3} - 600 x^{3} - 72 = 0

Subtract the terms

More Steps

- 599 x^{3} - 72 = 0

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

- 599 x^{3} = 0 + 72

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

- 599 x^{3} = 72

Change the signs on both sides of the equation

599 x^{3} = - 72

Divide both sides

\frac{599 x ^{3}}{599} = \frac{- 72}{599}

Divide the numbers

x^{3} = \frac{- 72}{599}

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

x^{3} = - \frac{72}{599}

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

3 x^{3} = 3 - \frac{72}{599}

Calculate

x = 3 - \frac{72}{599}

Solution

More Steps

x = - \frac{2 3 179 7 ^{2}}{599}

Alternative Form

x \approx - 0.493517

Show Solution