Find three pair of integers whose sum is ―120.
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Answer:
-60 -60
-100-10
-140+20
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Answer:
Let the three integers be (x-1), x and (x+1). So their product is
(x-1)* x *(x+1) = 120, or
x(x^2–1) = 120, or
x^3-x = 120. So x = 5. Check 5^3–5 = 125–5 = 120.
So the three numbers are 4,5 and 6.
The sum of the three integers is 4+5+6 = 15
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