SOLUTION: what two numbers when added together equal -2 but when multiplied equal -360?

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Question 1200829: what two numbers when added together equal -2 but when multiplied equal -360?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
what two numbers when added together equal -2 but when multiplied equal -360?
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Find 2 factors of 360 that differ by 2.
One of them is negative.
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Hint: both are near sqrt%28360%29
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The hard way:
a + b = 2
a*b = 360
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a = 2-b
(2-b)*b = -360
2b - b^2 = -360
b^2 - 2b - 360 = 0
(b-20)*(b+18) = 0
b = 20
b = -18

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
what two numbers when added together equal -2 but when multiplied equal -360?
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This is a correction to the answer by Alan:

    The numbers are -20 and 18.     ANSWER