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25-04-2020
Mathematics

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PLEASE HELP.....The product of two numbers is 165. Their difference is 4. What is the sum of the two numbers?

Respuesta :

25-04-2020

xy = 165

x-y = 4

y = x - 4

x(x - 4) = 165

x² -4x - 165 = 0

(x - 15)(x + 11) = 0

x = 15, y = x - 4 = 11, x + y = 26

or

x = -11, y = x - 4 = -15, x + y = -26

We can't tell the sign, so we answer the sum is:

Answer: ±26

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