Question

What are the solutions of the equation x³ + 5x² - 4x - 20 = 0?

A) x = -4, -1, 5
B) x = -2, 2, 5
C) x = -5, -1, 4
D) x = -5, -2, 2

Answer 1

The solutions of the equation x³ + 5x² - 4x - 20 = 0 are x = -4 and x = 1.

Step-by-step explanation:

The equation x³ + 5x² - 4x - 20 = 0 is a cubic equation. To find the solutions, we first need to use a technique called factoring by grouping to factor the equation. We can rewrite the equation as (x² + 4)(x - 1) = 0. Now we set each factor equal to zero and solve for x. Thus, the solutions of the equation are x = -4, 1.