Q75 of 134 Page 4


Divide 12 into two parts such that their product is 32.


Let one part be x.
Then the other part is 12 - x .
Condition: Product of two parts is 32.
Therefore x(12 - x) = 32
12x – x 2 = 32
- x 2 + 12x – 32 = 0
- x 2 + 8x + 4x – 32 = 0
- x(x - 8) + 4(x - 8) = 0
(-x + 4)(x - 8) = 0
(-x + 4) = 0 or (x - 8) = 0
x = 4 or x = 8
Therefore the two products are 4 and 8.
Checking:
4(8) = 32.

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