What adds to 7 and multiples to 294?

Answer 1

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)