Answer:
the discriminant of the given equation is, 12
Explanation:
A quadratic equation
....[1] then
Discriminant of the quadratic equation is given by:

where D is the discriminant of the quadratic equation
Given the equation:

On comparing with equation [1] we have;
a = 1, b = 2 and c = -2
Then using formula for discriminant, we have;

⇒

⇒

Therefore, the discriminant of the given equation is, 12