1950 AMC 12 Problem 3
Attempt Problem 3 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.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
3.
The sum of the roots of the equation is equal to:
None of these answers
Answer: E
Small hint:
Rewrite the equation in descending powers of
Big hint:
For the sum of the roots is
Solution:
In standard form the equation is By Vieta’s formulas, the sum of its roots is This value is not among choices A through D.
Thus, the correct answer is E.
Problem 3 in other years
- 1951 AMC 12
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