How many roots do the following equations have? -12x2 - 25x + 5 + x3 = 0
Answer: The equation -12x2 - 25x + 5 + x3 = 0 will have 3 roots.
Let us proceed step by step.
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.
⇒ x3- 12x2 - 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.