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Subjects>Math>Math & Arithmetic

What times something equal 135 but add up to then equal 6?

Updated: 9/19/2023

Wiki User

∙ 14y ago

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141

Linnea Beatty ∙

Lvl 10

∙ 3y ago

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Wiki User

∙ 14y ago

Let your numbers be x and y. We're told:

x + y = 6

x * y = 135

Let's take the second equation and plug it into the first one:

x + (135 / x) = 6

∴ x2 +135 = 6x

∴ x2 - 6x = -135

∴ x2 - 6x + 9 = -144

∴ (x - 3)2 = -144

∴ x - 3 = ± 12i

∴ x = 3 ± 12i

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