Algebra-1

Question Analysis
This question tests the student's ability to calculate the discriminant of a quadratic equation and determine the nature of its roots.

Key Concept Explanation
The discriminant, , helps in determining the nature of the roots of a quadratic equation. If , there are two distinct real roots; if , there is exactly one real root (a repeated root); if , there are two complex conjugate roots.

Step-by-step Solution
1. Identify coefficients: ,