SOLUTION: Find two negative consecutive integers whos product is 272.

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Question 701784: Find two negative consecutive integers whos product is 272.
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
ONE WAY:
272=2^4*17=16*17
so the two integers are and .

QUADRATIC WITH FACTORING WAY:
Let and be those integers
--> -->
Factoring, the equation is re-written as
with solutions (discarded because it's not a negative number),
and
--> .

QUADRATIC WITH QUADRATIC FORMULA
Let and be those integers
--> -->
The coefficients are
for the invisible in front of
for the invisible on front of
and
The quadratic formula is
so substituting the , and values we get

That leads us to
--> --> --> --> ,
and --> --> (discarded because it's not a negative number).

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