1966 AHSME Problems/Problem 7
From AoPSWiki
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) | ||
| 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 | ||
