8
Answer: ASet 9: Quadratic Equations
Explanation
Determine the nature of the roots for .
A.✓ Correct
One real repeated root
B.
Two distinct real roots
C.
No real roots
D.
One real and one imaginary
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Calculate the discriminant . 1. . 2. . 3. Since , there is exactly one real repeated root. Choice B is incorrect because is not positive. Choice C is incorrect because is not negative. Choice D is incorrect because roots come in conjugate pairs.
Key Steps:
•
The correct answer is One real repeated root
Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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