SOLUTION: Two negative integers have a sum of -12 and a product or 11. What are the integers? Separate with a comma.

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Question 817369: Two negative integers have a sum of -12 and a product or 11. What are the integers?
Separate with a comma.
Found 2 solutions by ewatrrr, Alan3354:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Two negative integers 'x' and 'y' have a sum of -12 and a product or 11. 

What are the integers? 

 xy = 11  0r   x = 11/y

   11%2Fy+%2B+y+=+-12    ||Multiplying thru by y  so as all denominators = 1

   11 + y^2 = -12y

    y^2 + 12y + 11 = 0

  (y+11)(y+1) = 0

  (y+11)= 0  , y = -11  , x = -1

0r(y+1) = 0  , y = -1   , x = -11

 Integers are:  -11, -1

CHECKING our answer***

Sum of -12  and product of 11

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Two negative integers have a sum of -12 and a product or 11. What are the integers?
---------------
11 has only 2 factors, 1 & 11.
--> -1 & -11