-92
Step-by-step explanation:
If a quadratic equation has the following form:
then its discriminant D is defined as
In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is
Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:
there will be 2 real roots
there will be 1 real root
there will be 2 imaginary roots
Hence our given quadratic equation will not have any real roots but only imaginary ones.