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Ah, what a fun little math puzzle we have here! Let's think about this together. If we have two numbers that multiply to -40 and add up to 6, those numbers are 10 and -4. Isn't it amazing how numbers work together in harmony to create beautiful equations? Just like how every color on our palette adds something special to our painting.
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Let the numbers be 'm' & 'n'
Hence mn = -40
And m + n = 6
It follows m = 6 - n
Substitute
(6 - n) n = -40
6n - n^2 = -40
n^2 - 6n - 40 = 0
Factor
(n - 10)(n + 4) = 0
n = 10 & n = -4 => m = 6 - - 4 = 10
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Earn +20 ptsQ: What two numbers when multiplied equals -40 and when added equals 6?
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