What two numbers multiply to get 54 and add to get 36?

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25-01-2015
Mathematics

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What two numbers multiply to get 54 and add to get 36?

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047 047 · Answer 1 · 2015-01-25T20:12:57+01:00

047 047

25-01-2015

let the numbers be x and y.
given that their sum, x+y = 36
⇒ y = 36-x

product = xy = 54
⇒ x( 36 - x) = 54
⇒ 36x - x² = 54
⇒ x² - 36x +54 = 0

Solving the quadratic equation, we get
x = 18 + 3√30 and 18-3√30

So the numbers are 18 + 3√30 and 18-3√30

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