Algebra-1

Question Analysis
This question requires students to calculate the discriminant of a quadratic equation and determine the nature of its roots. The discriminant is calculated using the formula .

Key Concept Explanation
The discriminant helps in determining the number and type of solutions without solving the 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: ,