Solve a^3-10a^2 10a-32

Question

Simplify the expression

- 99 a^{3} - 32

Show Solution

a = - \frac{2 3 1452}{33}

Alternative Form

a \approx - 0.686286

Evaluate

a^{3} - 10 a^{2} \times 10 a - 32

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

a^{3} - 10 a^{2} \times 10 a - 32 = 0

Multiply

More Steps

a^{3} - 100 a^{3} - 32 = 0

Subtract the terms

More Steps

- 99 a^{3} - 32 = 0

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

- 99 a^{3} = 0 + 32

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

- 99 a^{3} = 32

Change the signs on both sides of the equation

99 a^{3} = - 32

Divide both sides

\frac{99 a ^{3}}{99} = \frac{- 32}{99}

Divide the numbers

a^{3} = \frac{- 32}{99}

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

a^{3} = - \frac{32}{99}

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

3 a^{3} = 3 - \frac{32}{99}

Calculate

a = 3 - \frac{32}{99}

Solution

More Steps

a = - \frac{2 3 1452}{33}

Alternative Form

a \approx - 0.686286

Show Solution