1962 AMC 12 Problem 26
Attempt Problem 26 of the 1962 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 1962 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
26.
For any real value of the maximum value of is:
Answer: E
Small hint:
Complete the square in
Big hint:
A negative square is largest when it equals
Solution:
Completing the square, The square term is nonnegative, so the maximum is
Thus, the correct answer is E.
Problem 26 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
- 1957 AMC 12
- 1958 AMC 12
- 1959 AMC 12
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- 1961 AMC 12
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- 1964 AMC 12
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