6
Answer: ASet 14: Quadratic Equations (Advanced)
Explanation
If a line intersects a parabola at two points, the discriminant of the resulting quadratic equation is:
A.✓ Correct
Positive
B.
Zero
C.
Negative
D.
Undefined
Detailed Explanation
Choice A is correct. Choice A is the correct answer. When solving a system of a linear and quadratic equation, you get a new quadratic equation. * 2 Intersections 2 Real Solutions Positive Discriminant. * 1 Intersection (Tangent) 1 Real Solution Zero Discriminant. * 0 Intersections No Real Solutions Negative Discriminant. Choice B is incorrect because zero means 1 point (tangent). Choice C is incorrect because negative means 0 points. Choice D is incorrect.
Key Steps:
•
The correct answer is Positive
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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