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Chat with our AI personalities
To find two numbers that add up to 21 and multiply to 30, we can set up a system of equations. Let's call the numbers x and y. We have the equations x + y = 21 and x * y = 30. By solving these two equations simultaneously, we can find that the two numbers are 6 and 15.
Well, 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.
Oh, dude, you've got yourself a classic math problem there. So, let's break it down - we need two numbers that add up to 21 and multiply to 30. Well, those numbers are 6 and 15. I mean, it's like basic math, but hey, you nailed it!
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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)