Algebra-1

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

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 one real root (a repeated root); if , there are two complex conjugate roots.

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