Answer: -92
Step-by-step explanation:
discriminant formula: [tex]b^2-4ac[/tex]
[tex]f(x) = 4x^2+2x+6[/tex]
a = 4
b = 2
c = 6
[tex]b^2-4ac\\2^2-(4(4)(6))\\4-(96)\\4-96\\-92[/tex]
Since the discriminant equals -92, and -92 is less than 0, we know the equation will not have real solutions