Solve x^3-5x^2 5x-25

Question

x^{3} - 5 x^{2} \times 5 x - 25

Simplify the expression

- 24 x^{3} - 25

Show Solution

x = - \frac{3 225}{6}

Alternative Form

x \approx - 1.0137

Evaluate

x^{3} - 5 x^{2} \times 5 x - 25

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

x^{3} - 5 x^{2} \times 5 x - 25 = 0

Multiply

More Steps

x^{3} - 25 x^{3} - 25 = 0

Subtract the terms

More Steps

- 24 x^{3} - 25 = 0

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

- 24 x^{3} = 0 + 25

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

- 24 x^{3} = 25

Change the signs on both sides of the equation

24 x^{3} = - 25

Divide both sides

\frac{24 x ^{3}}{24} = \frac{- 25}{24}

Divide the numbers

x^{3} = \frac{- 25}{24}

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

x^{3} = - \frac{25}{24}

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

3 x^{3} = 3 - \frac{25}{24}

Calculate

x = 3 - \frac{25}{24}

Solution

More Steps

x = - \frac{3 225}{6}

Alternative Form

x \approx - 1.0137

Show Solution