Algebra-2

Question Analysis
This problem tests the student's understanding of the discriminant and its role in determining the nature of the roots of a quadratic equation.

Key Concept Explanation
The discriminant, , helps in identifying the number and type of roots. A zero discriminant indicates one real root (a repeated root), a positive discriminant indicates two distinct real roots, and a negative discriminant indicates no real roots.

Step-by-step Solution
1. Identify coefficients: , ,
2. Calculate the discriminant: