1979 AHSME Problems/Problem 22
Problem 22
Find the number of pairs of integers which satisfy the equation .
Solution
Solution by e_power_pi_times_i
Notice that . Then , and . However, will never be divisible by , nor , so there are integer pairs of .
Solution 2:
The equation is equivalent to . Taking mod 3, we get
or which is a contradiction. Thus, the answer is
See also
1979 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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