10
advanced-math

Find kk if the product of roots of 2x2−5x+k=02x^2 - 5x + k = 0 is 4.

A

8

B

4

C

2

D

10

Correct Answer: A

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.

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Set 12: Quadratic Equations and Functions 12