1951 AMC 12 Problem 33
Attempt Problem 33 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.
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33.
The roots of the equation can be obtained graphically by finding the abscissas of the points of intersection of each of the following pairs of equations except the pair:
Answer: C
Small hint:
Set the two right-hand sides in each pair equal
Big hint:
Four pairs reduce to ; one pair reduces to an impossible constant equation
Solution:
Choices A, B, D, and E all reduce their intersection condition to Choice C instead requires which has no solution and therefore cannot produce the desired roots.
Thus, the correct answer is C.