Question
Use the discriminant to determine the number of real solutions of 3x^2 + 6x - 42 = 0.
Answers
Answered by
GPT 3.5
The discriminant is given by the formula: b^2 - 4ac.
For the equation 3x^2 + 6x - 42 = 0, the values of a, b, and c are 3, 6, and -42 respectively.
Therefore, the discriminant is: (6)^2 - 4(3)(-42) = 36 + 504 = 540.
Since the discriminant is positive and greater than zero, there are two distinct real solutions.
For the equation 3x^2 + 6x - 42 = 0, the values of a, b, and c are 3, 6, and -42 respectively.
Therefore, the discriminant is: (6)^2 - 4(3)(-42) = 36 + 504 = 540.
Since the discriminant is positive and greater than zero, there are two distinct real solutions.