SOLUTION: Can you advise me how to solve this problem, not just looking for an answer. the product of two numbers is 323 and the difference between them is 2. What are the two numbers?

Question 917503: Can you advise me how to solve this problem, not just looking for an answer.
the product of two numbers is 323 and the difference between them is 2. What are the two numbers?
Thank you in advance
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the product of two numbers is 323 and the difference between them is 2.
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xy = 323
x-y = 2
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Modify
x = 2+y
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Substitute::
(2+y)y = 323
----
y^2+2y-323 = 0
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Factor:
(y-17)(y+19) = 0
----
Positive solution::
y = 17
-----
Solve for "x"
xy = 323
17x = 323
x = 19
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Cheers,
Stan H.
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