Consider the quadratic equation . Calculate and state whether the roots are ___________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to calculate the discriminant and 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 exactly one real root (a repeated root); if , there are two complex conjugate roots.
Step-by-step Solution
1. Identify coefficients: ,
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