Answer :
We can determine number of solutions of a quadratic equation using the discriminant.
If the discriminant is negative, there is no real solution, meaning that both solutions are complex.
If the discriminant is zero, there is 1 real solution, meaning that the other solution is complex.
If the discriminant is positive, there are 2 real solutions.
In this case, the discriminant is -1 which is negative. So there is no real solution. That means there are two complex solutions.
If the discriminant is negative, there is no real solution, meaning that both solutions are complex.
If the discriminant is zero, there is 1 real solution, meaning that the other solution is complex.
If the discriminant is positive, there are 2 real solutions.
In this case, the discriminant is -1 which is negative. So there is no real solution. That means there are two complex solutions.