# math

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the product of two even consecutive integers is 224. find the integers

• math -

Let the two integers be
(x+1) and (x-1), the product is therefore
N=(x+1)(x-1)=x²-1
therefore
x=√(N+1)=√(224+1)=√225=15
The two integers are 15+1 and 15-1, or 14 & 16

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