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The sum of two integers is -8 and their product is plus 7 what are the two integers?
Wiki User
∙ 14y ago
short answer
-1 and -7
long worked answer
let x = one of the integers
let y = the other integer
x+y = -8
xy = 7
solve for y
y = -8 - x
plug y in
x(-8 - x) = 7
rearrange
-x^2 - 8x - 7 = 0
divide both sides by -1
x^2 + 8x + 7 = 0
factor
(x + 7)(x + 1) = 0
x = -1, -7
y = -8 - x
so y = -8 + 1 = -7
or -8 + 7 = -1
so when x = -1, y = -7
when x = -7, y = -1
Wiki User
∙ 14y ago
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