Well, isn't that a happy little math problem we have here! To find the two numbers, we need to think about what factors of 240 could work. Since the numbers multiply to a negative number and add to a positive number, we know one number must be positive and the other negative. After some gentle calculations, we find the numbers to be 30 and -8.
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To find two numbers that multiply to -240 and add to 22, we can set up a system of equations. Let's call the two numbers x and y. We have the equations xy = -240 and x + y = 22. By solving these equations simultaneously, we can find the two numbers. The numbers are 30 and -8, as 30 * -8 = -240 and 30 + (-8) = 22.
x * y = -240
x = -240/y
x + y = 22
y = 22 - x
x = -240/22 - x
x^2 + 22x = -240
x^2 + 22x + 240 = 0
This is not possible, there are only imaginary solutions.
Well, honey, those two numbers would be 30 and -8. They multiply to -240 and add up to 22. It's basic math, nothing fancy.
Oh, dude, you want me to find two numbers that multiply to -240 and add up to 22? Easy peasy lemon squeezy! So, the numbers are 30 and -8. Yeah, it's like math magic or something.