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What multiplies to -120 and adds to 7?

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Anonymous

∙ 11y ago
Updated: 12/10/2024

Let the numbers be m & n

Hence

mn = -120

m +n = 7

It follows m = 7 - n

Substitute

(7 - n)n = -120

Multiply out the brackets

7n - n^2 = -120

Form a Quadratic Eq'n

n^2 - 7n - 120 = 0

Factor

(n - 15)(n + 8) = 0

Hence n = 15 & m = -8

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lenpollock ∙

Lvl 16
∙ 2y ago
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