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