Difference between revisions of "1966 AHSME Problems/Problem 7"
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[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] | ||
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Latest revision as of 12:40, 5 July 2013
Problem
Let be an identity in
. The numerical value of
is:
Solution
Comparing coefficients, we have the system of two equations
Subtracting the first equation from the second yields . Substituting yields
, and their product is
.
See also
1966 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.