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?

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) (Show Source): You can put this solution on YOUR website!
We could assign the page numbers to be and and obtain the quadratic . 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.
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