SOLUTION: A student opens a mathmatics book to facing pages. The product of the page numbers is 1332. Find the page numbers. The first page is __?__ The second page is __?__

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Question 337927: A student opens a mathmatics book to facing pages. The product of the page numbers is 1332. Find the page numbers.
The first page is __?__
The second page is __?__
Answer by katealdridge(100) About Me  (Show Source):
You can put this solution on YOUR website!
This is a systems of equations problem. You have two equations and two unknowns.
First: x%2Ay=1332
Second: y=x%2B1 because if the pages are facing each other, then they are consecutive integers, like 134 and 135, for instance.
Substitute x+1 for y in first equation:
x%2A%28x%2B1%29=1332
distribute x
x%5E2%2Bx=1332
solve the quadratic for 0
x%5E2%2Bx-1332=0
Factor (look for two numbers that multiply to 1332 and add or subtract to 1
%28x%2B37%29%28x-36%29=0
x=-37, x=36
x=-37 does not make sense for this question, so x=36. Since y=x+1, y=36+1=37
Therefore the facing pages are 36 and 37.