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What multiplies to 20 but adds to be -9?

Updated: 12/31/2023
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Wiki User

14y ago

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Rosemarie Mills

Lvl 10
3y ago
This answer is:
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lenpollock

Lvl 15
3mo ago

Let the number be 'm' & 'n'

Hence

mn = 20

m + n = -5

m = -5 -n

Substitute

n(-5-n) = 20

-5n - n^2 = 20

n^2 + 5n + 20 = 0

It is now in quadratic form , so use quadratic eq'n

n = { - 5 +/- sqrt[(5_^2 - 4(1)(20)]} / 2(1)

n = { - 5 +/- sqrt[25 - 80]}/ 2

n = { - 5 +/'- sqrt[-80]} / 2

This is unreseolved because you cannot take the square root of a negative number.

5

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Wiki User

14y ago

-4*-5=20 -4+(-5)=-9

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Q: What multiplies to 20 but adds to be -9?
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