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7 January, 13:09

The product of two consecutive odd integers is 143. find all such pairs of integers.

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  1. 7 January, 13:39
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    x (x+2) = 143

    x^2+2x-143=0

    (x+13) (x-11) = 0

    x=-13

    x=11 solution

    x+2=13 solution

    proof

    11*13=143

    143=143

    l=w+4

    thus (w+4) w=117

    w^2+4w-117=0

    (w+13) (w-9) = 0

    w-9=0

    w=8 for the width

    l=9+4=13 for the length.

    proof

    9*13=117

    117=117
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