SOLUTION: The product of 2 integers is -144. The sum of the integers is -7. What are the 2 integers?

Question 952888: The product of 2 integers is -144. The sum of the integers is -7. What are the 2 integers?
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The product of 2 integers is -144. The sum of the integers is -7. What are the 2 integers?
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Try pairs of factors of 144.
Find 2 that differ by 7.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The product of 2 integers is -144. The sum of the integers is -7.
What are the 2 integers?
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Equations:
xy = -144
x + y = -7
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Substitute for "x" and solve for "y"::
x = -7-y
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-(y+7)y = -144
y^2 + 7y - 144 = 0
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Factor::
(y-9)(y+16) = 0
Positive solution:
y = 9
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Solve for "x":
x + y = -7
x + 9 = -7
x = -16
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Cheers,
Stan H.
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