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What adds to 7 and multiples to 294?

Updated: 4/28/2022
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9y ago

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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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Q: What adds to 7 and multiples to 294?
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