SOLUTION: the sum of 2 numbers is 12, and their product is 35. Find the numbers.

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Question 604906: the sum of 2 numbers is 12, and their product is 35. Find the numbers.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"the sum of 2 numbers is 12" ---> x+y = 12 ---> y = 12-x
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"their product is 35" ----> xy = 35

xy = 35

x(12-x) = 35

-x^2 + 12x = 35

-x^2 + 12x - 35 = 0

x^2 - 12x + 35 = 0

(x - 7)(x - 5) = 0

x-7 = 0 or x-5 = 0

x = 7 or x = 5

So the two numbers are 5 and 7
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