Answer:
Discriminant = -92
the equation has no distinct real numbers
Explanation:
Given the function f(x) = 4x^2 + 2x + 6 where;
a = 4, b = 2 and c= 6
The discriminant is expessed as D = b^2 - 4ac
Substitute;
D = 2^2 - 4(4)(6)
D = 4 - 96
D = -92
Hence the discriminant is -92.
Since the discriminant is less than zero i.e D< 0, this shows that the zeros of the equation are not real but complex numbers. Hence, the equation has no distinct real numbers