Question

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

Answer 1

Let the two parts be x and 12 − x.

Given that their product is 32:

x(12 − x) = 32

12x − x² = 32

x² − 12x + 32 = 0

(x − 4) (x − 8) = 0

x = 4 or x = 8

The two parts are:

4 and 8​