The two numbers that add to -6 and multiply to 8 are -4 and -2. This can be determined by setting up a system of equations where x + y = -6 and x * y = 8. By solving these equations simultaneously, we find that x = -4 and y = -2 satisfy both conditions.
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There are infinitely many pairs of numbers that will add to 105.8 and infinitely many pairs of numbers that will multiply to 105.8 but there are no pair that will add AND multiply. I do not think there are larger sets, but I could be wrong. One example of a triplet adding and multiplying to the same number is 1, 2 and 3. They add to 6 and multiply to 6.
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