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To find two numbers that multiply to 36 and add up to -12, we can use algebra. Let's call the two numbers x and y. We know that xy = 36 and x + y = -12. By factoring 36, we find that the pairs of numbers that multiply to 36 are (1, 36), (2, 18), (3, 12), and (4, 9). However, the pair that adds up to -12 is (-6, -6). Therefore, the two numbers are -6 and -6.
Oh, what a happy little math problem we have here! To find two numbers that multiply to 36 and add up to -12, we can think of factors of 36. The numbers are -6 and -6 because -6 * -6 = 36 and -6 + (-6) = -12. Just like painting a beautiful landscape, sometimes all it takes is a little patience and a gentle touch to find the right answer.
mn = 36
m + n = -12
m = -12 -n
Substitute
(-12 -n) n = 36
-12 n _ n^2 = 36
n^2 + 12n + 36 = 0
Factor
( n + 6)(n + 6) = 0
n = -6
& m = -6
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The factor pairs of 36 are (36, 1) (18, 2) (12, 3) (9, 4) (6, 6) None of them add up to 9. If that was -36, you could use 12 and -3
-20
0
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