Posted by Jack on Sunday, May 11, 2008 at 10:11am.
A student opens a mathmatics book to two facing pages. The product of the page numbers is 2352. Find the page numbers.

algebra  PsyDAG, Sunday, May 11, 2008 at 10:31am
X * (X+1) = 2352
X^2 + X  2352 = 0
Factor 2352 => 2 * 2 * 2 * 2 * 7 * 7 * 3
Since the third term is negative and the middle term is factored into 1 * X, combine the factors into two products that differ by 1.
2 * 2 * 2 * 2 * 3 = 48
7 * 7 = 49
Thus (X + 49)(X  48) = 0
X = 49 or
X = 48
Since the page number cannot be negative, X = 48 and X + 1 = 49.
I hope this helps you to understand the process. Thanks for asking.