2002 AMC 12A Problem 12
Below is the professionally curated solution for Problem 12 of the 2002 AMC 12A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2002 AMC 12A solutions, or check the answer key.
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Difficulty rating: 1350
12.
Both roots of the quadratic equation are prime numbers. The number of possible values of is
more than four
Solution:
If the roots are primes and then by Vieta's formulas and
Since is odd, one prime must be even, namely and the other is Both are prime, so is the only possible value.
Thus, the correct answer is B.
Problem 12 in Other Years
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