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The numbers that multiply to give you 121 and add to give you 8 are 11 and -11. When multiplied, 11 × -11 equals 121; however, they do not add up to 8. The correct numbers that meet both conditions are 11 and -3, as 11 × -3 equals -33, and 11 + (-3) equals 8. Therefore, there are no real numbers that satisfy both conditions simultaneously.
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