InterviewSolution
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InterviewSolution
| 1. |
{ †ext { Find number of triples of positive integers } ( a , b , c ) †ext { where } a ≤ b ≤ c ≤ 100 †ext { such that } a ^ { 2 } + b ^ { 2 } + c ^ { 2 } + 2 a b + } { 2 a ( c - 1 ) + 2 b ( c + 1 ) †ext { is a perfect square. } |
| Answer» { †ext { Find number of triples of positive integers } ( a , b , c ) †ext { where } a ≤ b ≤ c ≤ 100 †ext { such that } a ^ { 2 } + b ^ { 2 } + c ^ { 2 } + 2 a b + } { 2 a ( c - 1 ) + 2 b ( c + 1 ) †ext { is a perfect square. } | |