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Find 3 integers whose product is -36 and whose sum is 5.
6, 2, -3.
Just by trying stuff though, I can't think of a way to reason an answer.
Why did the vector cross the road?
It wanted to be normal.
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An alternative to reasoning an answer is to use Excel. Let the integers be a, b, c with a ≤ b ≤ c. Their product must be −36. So try all possible combinations for a, b, c (I make it there are only 28 of them) and for each combination, check their sum. There is indeed only one combination that gives a+b+c = 5.
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