algebra

divide 75 units into parts,such that the product is 1250

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  1. one part --- x
    the other part ---- 75-x

    x(75-x) = 1250
    -x^2 + 75x - 1250 = 0
    x^2 - 75x + 1250 = 0
    (x-50)(x-25) = 0

    etc

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  2. Eq1: x + y = 75.
    Eq2: xy = 1250,
    y = 1250/x,
    In Eq1, replace y with 1250/x and solve for x:
    x + 1250/x = 75,
    x^2 + 1250 = 75x,
    x^2 - 75x + 1250 = 0,
    (x-50)(x-25) = 0.

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