For this case we have a quadratic equation of the form:
[tex]ax ^ 2 + bx + c = 0[/tex]
Where:
[tex]a = 6\\b = 3\\c = 4[/tex]
By definition, we have that the discriminant is given by:
[tex]D = b ^ 2-4 (a) (c)[/tex]
Substituting the values:
[tex]D = (3) ^ 2-4 (6) (4)\\D = 9-96\\D = -87[/tex]
Answer:
The discriminant of the given equation is:
[tex]D = -87[/tex]
