Answer: The required discriminant of the given quadratic equation is 8.
Step-by-step explanation: We are given to find the discriminant of the following quadratic equation :

We know that
the discriminant of a quadratic equation of the form
is given by

In the given quadratic equation, we have
a = -1, b = 4 and c = -2.
Therefore, the discriminant of the given quadratic equation is

Thus, the required discriminant of the given quadratic equation is 8.