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If we want two numbers to add to -1 then the two numbers must be of the form n and -(n+1). If we want two numbers to multiply to -72 then the two numbers must be of the form n and -m. It makes sense to look at factors of 72 which satisfy these equations. In this case, the only solution is 8 and -9.

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15y ago
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Q: What two numbers add to give -1 and multiply to give -72?
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