1951 AMC 12 Problem 26
Attempt Problem 26 of the 1951 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 1951 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
26.
In the equation the roots are equal when:
Answer: E
Small hint:
Clear denominators and collect the resulting quadratic in
Big hint:
The equation reduces to ; equal roots require zero discriminant
Solution:
Clearing denominators and simplifying yields Equal roots require hence This value does not violate the original denominators.
Thus, the correct answer is E.
Problem 26 in other years
- 1950 AMC 12
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