9

Set 8: Quadratic Equations

Explanation

Answer: A

Find kk if the product of roots of 2x25x+k=02x^2 - 5x + k = 0 is 4.

A.

8

✓ Correct
B.

4

C.

2

D.

10

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Product of roots formula is c/ac/a. 1. c=k,a=2c = k, a = 2. 2. Product = k/2k/2. 3. Set equal to 4: k/2=4k/2 = 4. 4. Solve: k=8k = 8. Choice B is incorrect because it forgets to multiply by aa. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is 8

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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