SOLUTION: The sum of two integers is 36 and their product is 128. Find the integers.

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Question 137660: The sum of two integers is 36 and their product is 128. Find the integers.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The sum of two integers is 36 and their product is 128. Find the integers.
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Let one of the integers be "x"
The 2nd integer is "36-x"
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EQUATION:
x(36-x) = 128
-x^2+36x-128 = 0
x^2-36x+128=0
x^2-4x-32x+128 = 0
x(x-4)-32(x-4) = 0
(x-4)(x-32) = 0
x = 4 or x=32
If x=4,(the smaller integer) then 36-x = 32 larger integer
Cheers,
Stan H.

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