SOLUTION: If someone opens a book to two facing pages, the product of the page number is 2352. What is the first and second page?

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Question 153064: If someone opens a book to two facing pages, the product of the page number is 2352. What is the first and second page?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the first page number and x+1 the number of the facing page.
x%28x%2B1%29+=+2352
x%5E2%2Bx+=+2352 Subtract 2352 from both sides.
x%5E2%2Bx-2352+=+0 Factor the quadratic equation.
%28x-48%29%28x%2B49%29+=+0
x+=+48 or x+=+-49
The first page is 48. The second page is 49.