Given the equation x3+6x2−10x−60=0 , which of the following describes a possible solution set?(1 point) Responses The equation has all real solutions. The equation has all real solutions. The equation has two real solutions and one non-real solution. The equation has two real solutions and one non-real solution. The equation has four non-real solutions. The equation has four non-real solutions. The equation has all non-real solutions.
The equation x^3 + 6x^2 - 10x - 60 = 0 can be factored as (x+6)(x^2-10) = 0.
Setting each factor equal to zero, we get x+6 = 0 and x^2-10 = 0.
Solving these equations, we find x = -6 and x = ±√10.
Therefore, the equation has two real solutions and one non-real solutions.
The correct answer is: The equation has two real solutions and one non-real solution.