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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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