Question

Which statement describes the solution set of function ? f(x)=3x²-4x-2

A. two real solutions
B. one real solution
C. one real solution and one complex solution
D. two complex solutions

Answer 1

The quadratic function f(x)=3x²-4x-2 has a positive discriminant, indicating that it has two real solutions.

Step-by-step explanation:

The function f(x)=3x²-4x-2 is a quadratic equation, which is of the form ax²+bx+c=0. The number of real solutions to a quadratic equation can be determined by the discriminant, which is b²-4ac.

For the given function, a=3, b=-4, and c=-2. Calculating the discriminant gives us (-4)² - 4(3)(-2) = 16 + 24 = 40, which is positive. A positive discriminant indicates that there are two real solutions to the equation.