Answer:
C. The discriminant is negative, so there are no solutions.
Step-by-step explanation:
We see that the given figure is a graph of a parabola.
The equation of the given parabola is .
Simplifying the equation in quadratic form, we get,
The equation is i.e. i.e. .
We know that the discriminant of a quadratic equation is given by
So, from the equation , we have,
a = 1, b = -6 and c = 10
Thus, the discriminant is
i.e.
i.e.
So, the discriminant is -4 i.e. negative.
Hence, as the discriminant is negative, there are no solutions.