Question
Find the number of real number solutions for the equation. x2 – 3x + 8 = 0
2
0
cannot be determined
1
2
0
cannot be determined
1
Answers
GPT 3.5
The number of real number solutions for the equation can be determined using the discriminant. The discriminant of the equation is given by b^2 - 4ac, where a, b, and c are the coefficients of x^2, x, and the constant term respectively.
In this case, a = 1, b = -3, and c = 8.
The discriminant = (-3)^2 - 4(1)(8) = 9 - 32 = -23
Since the discriminant is negative (-23 < 0), there are no real number solutions for the equation. Therefore, the answer is 0.
In this case, a = 1, b = -3, and c = 8.
The discriminant = (-3)^2 - 4(1)(8) = 9 - 32 = -23
Since the discriminant is negative (-23 < 0), there are no real number solutions for the equation. Therefore, the answer is 0.