SOLUTION: "the sum of two intergers is 9.the product of the intergers is 14.what are the intergers?"

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Question 796220: "the sum of two intergers is 9.the product of the intergers is 14.what are the intergers?"
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 9 ......1
xy = 14........2
Adjusting Eq(2)
xy = 14
x = 14/y
Substitute 14/y for x in Eq(1)
x + y = 9
14/y + y = 9
Common denominator = y
14 + y^2 = 9y
Rearrange Eq(1)
y^2 - 9y + 14 = 0
Factorise;
(y - 2)(y - 7)= 0
y = 2 or 7
The two integers are 2 and 7.
Hope this helps.
:-)