Use the discriminant to determine the number of real solutions of x2+14x+24=0
.(1 point)
real solution(s)
The discriminant is the term inside the square root in the quadratic formula, which is given by b^2 - 4ac.
In this case, a = 1, b = 14, and c = 24.
The discriminant is therefore (14)^2 - 4(1)(24) = 196 - 96 = 100.
Since the discriminant is positive (100 > 0), there are two distinct real solutions to the equation x^2 + 14x + 24 = 0.