Parabola y = 2x ^ 2 + 1 and parabola y = - 2x ^ 2 + k are at most the same_____ Intersection points

Parabola y = 2x ^ 2 + 1 and parabola y = - 2x ^ 2 + k are at most the same_____ Intersection points

If they have an intersection, then the abscissa and ordinate of the intersection are equal
So 2x ^ 2 + 1 = - 2x ^ 2 + k
The result is 4x ^ 2 + 1-k = 0
Therefore, when the discriminant is greater than 0, there are two unequal roots of real numbers, that is, the abscissa of two intersections
When the discriminant = 0, there are two equal real roots, i.e. one abscissa of intersection
When discriminant