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Oh, dude, you're hitting me with some math here. So, we've got to find two numbers that multiply to 30 and add up to 23. Let's see, we could go with 10 and 3. Yeah, 10 times 3 is 30, and when you add them up, you get 13. Wait, that's not right... Oh, it's 20 and 3! 20 times 3 is 60, and when you add them up, you get 23. Math is fun, right?
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There are no two real numbers that do, but two complex numbers do: (3.5 + i 3.5 √23) and (3.5 - i 3.5 √23) If you want them to add to 7 and multiply to -294, then the two real numbers -14 and 21 work. Or if you want them to add to -7 and multiply to -294, then the two real numbers 14 and -21 work. To add to -7 and multiply to 294, the following two complex numbers work: (-3.5 + i 3.5 √23) and (-3.5 - i 3.5 √23)
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There are no two real numbers that do, but two complex numbers do: (3.5 + i 3.5 √23) and (3.5 - i 3.5 √23) If you want them to add to 7 and multiply to -294, then the two real numbers -14 and 21 work. Or if you want them to add to -7 and multiply to -294, then the two real numbers 14 and -21 work. To add to -7 and multiply to 294, the following two complex numbers work: (-3.5 + i 3.5 √23) and (-3.5 - i 3.5 √23)
There aren't any whole numbers that satisfy these conditions. The only numbers that multiply to 23 are 23 and 1.
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-23