Consider Only the Discriminant $b ^ { 2 } - 4 a c$

Multiple Choice

Consider only the discriminant, $b ^ { 2 } - 4 a c$ , to determine whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions exist.
- $$x ^ { 2 } - 2 x - 6 = 0$$

A) Two different imaginary-number solutions
B) One real solution
C) Two different real-number solutions