Question #6450170Fill in the Blank
Algebra-2
Question
The discriminant of the quadratic equation is ___________.
Answer & Analysis
Analysis
Question Analysis
This problem tests the student's ability to calculate the discriminant and understand its significance in determining the nature of the roots of a quadratic equation.
This problem tests the student's ability to calculate the discriminant and understand its significance in determining the nature of the roots of a quadratic equation.
Key Concept Explanation
The discriminant, given by , helps determine the number and type of solutions. If , there are two distinct real roots; if , there is one real root (a repeated root); if , there are no real roots (two complex roots).
The discriminant, given by , helps determine the number and type of solutions. If , there are two distinct real roots; if , there is one real root (a repeated root); if , there are no real roots (two complex roots).
Step-by-step Solution
1. Identify coefficients: ,
1. Identify coefficients: ,
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