1950 AMC 12 Problem 41
Attempt Problem 41 of the 1950 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1950 AMC 12 solutions, or check the answer key.
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41.
The least value of the function with is:
None of these
Answer: D
Small Hint:
Complete the square in
Big Hint:
Since the squared term is minimized when it equals zero
Solution:
Completing the square gives Because the squared term has minimum The least value is therefore
Thus, the correct answer is D.