SOLUTION: A student opens a mathematics book to two facing pages. the product of the page numbers is 2162. find the first page number? find the second page number?

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Question 419491: A student opens a mathematics book to two facing pages. the product of the page numbers is 2162. find the first page number? find the second page number?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We could assign the page numbers to be x and x%2B1 and obtain the quadratic x%28x%2B1%29+=+2162. However the best way is to find factors of 2162 that meet the requirements.

45^2 = 2025, 46^2 = 2116, and 47^2 = 2209, so the page numbers must be within this range. We can "guess and check" and obtain {46,47} as the answer, since 46*47 = 2162.