Question #6446451Fill in the Blank
Algebra-1
Question
For the quadratic equation , the discriminant is _________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to calculate the discriminant of a quadratic equation and determine the nature of its roots based on the value of the discriminant.
This question tests the student's ability to calculate the discriminant of a quadratic equation and determine the nature of its roots based on the value of the discriminant.
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.
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: ,
1. Identify coefficients: ,
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