The sum of two integers is -11 and their product is -60 what are the two integers
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Let x and y be the two numbers
xy = -60 the product is -36
x + y = -9 the sum is -9
x = -9 - y solve for x
(-9 - y)(y) = -60 substitute into the first equation
-9y -y2 = -60 distribute
y2 +9y - -60 = 0 rearrange terms
(y + 12)(y - 3) = 0 factor
y = -12 or y = 3 solution
The integers are 3 and -12
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