SOLUTION: Hello there, I'm having issues with word problems. The sum of two numbers is 17 and their product is 42. Find the two numbers.

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Question 445170: Hello there,
I'm having issues with word problems.
The sum of two numbers is 17 and their product is 42. Find the two numbers.

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
"The sum of two numbers is 17" ___ x + y = 17 ___ x = 17 - y

"their product is 42" ___ x*y = 42

substituting ___ x(17-x) = 42 ___ 17x - x^2 = 42

0 = x^2 - 17x + 42

factoring ___ 0 = (x - 14)(x - 3)

x is 3 or 14 and y is the other one

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