# 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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