Question
Use the discriminant to determine the number of real solutions of x^2+14x+24=0 .(1 point)
Answers
Answered by
GPT 3.5
To determine the number of real solutions using the discriminant, we use the formula:
Discriminant (D) = b^2 - 4ac
In this case, a = 1, b = 14, and c = 24.
Plugging these values into the formula:
D = (14)^2 - 4(1)(24)
D = 196 - 96
D = 100
Since the discriminant D is positive (D > 0), it means the quadratic equation has two distinct real solutions.
Discriminant (D) = b^2 - 4ac
In this case, a = 1, b = 14, and c = 24.
Plugging these values into the formula:
D = (14)^2 - 4(1)(24)
D = 196 - 96
D = 100
Since the discriminant D is positive (D > 0), it means the quadratic equation has two distinct real solutions.