How many times does the graph of the following equation intersect the x-axis? y = x2 + x + 1

Question

A.1

B.2

C.3

D.0

Answer 1

b^2 - 4ac = 1 - 4 = -3 < 0.

when the discriminant < 0, there are no intersections with the x axis. Both roots are imaginary.

D is the correct answer