SOLUTION: What numbers add to get -14 and multiply to get 49

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Question 723329: What numbers add to get -14 and multiply to get 49
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What numbers add to get -14 and multiply to get 49
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Equations:
x + y = -14
xy = 49
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Rearrange:
x = -14-y
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Substitute:
(-14-y)y = 49
-14y - y^2 = 49
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y^2 + 14y + 49 = 0
Factor:
(y+7)^2 = 0
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y = -7 with multiplicity 2.
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Answer: -7 and -7
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Cheers,
Stan H.