# How many roots do the following equations have? -12x^{2} - 25x + 5 + x^{3} = 0

Roots are the values of x for which the value of a given expression will be equal to zero.

## Answer: The equation -12x^{2} - 25x + 5 + x^{3} = 0 will have 3 roots.

Let us proceed step by step.

**Explanation**:

To find the number of roots for the given equation we need to follow few steps.

**Step 1**: Arrange the given equation in decreasing orders of their powers.

⇒ x^{3}- 12x^{2} - 25x + 5 = 0

Changing the order does not affect the value of the equation hence we need to arrange it in ascending order.

**Step 2**: Maximum power of the given equation decides the total number of roots.

⇒ As we can see that the maximum power in the given equation is 3, the equation has 3 roots.