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SteveWell, isn't that a happy little math problem! Let's see, the two numbers that add up to 21 and multiply to 30 are 6 and 15. Just like painting a beautiful landscape, sometimes all it takes is a few gentle brushstrokes of arithmetic to reveal the hidden beauty within numbers. Remember, there are no mistakes in math, only happy little accidents waiting to be solved.
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What two numbers add to 21 but multiply to 36?
57
What two numbers multiply to 90 and add to 21?
111
What two numbers add up to 1 and multiply to negative 420?
421
What two numbers multiply to -21 and add to 4?
-17
What adds to 7 and multiples to 294?
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)
