1980 AHSME Problems/Problem 29
Problem
How many ordered triples (x,y,z) of integers satisfy the system of equations below?
Solution
Sum of three equations,
(x,y,z) are integers, ie. ,
: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169 : 174, 171, 166, 159, 150, 139, 126, 111, 94, 75, 54, 31, 6
so there is NO solution
Wwei.yu (talk) 22:09, 28 March 2020 (EDT)Wei
See also
1980 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 28 |
Followed by Problem 30 | |
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