SOLUTION: A student opens a book to two facing pages. The product of the page numbers is 1806, find the pages numbers. First page__________ Second page_________ How do I work this probl

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A student opens a book to two facing pages. The product of the page numbers is 1806, find the pages numbers. First page__________ Second page_________ How do I work this probl      Log On


   



Question 199940: A student opens a book to two facing pages. The product of the page numbers is 1806, find the pages numbers.
First page__________
Second page_________
How do I work this problem?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A student opens a book to two facing pages. The product of the page numbers is 1806, find the pages numbers.
First page__________
Second page_________
How do I work this problem?
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The quickest and easiest way is to find the sqrt(1806)
= ~ 42.49
That's between the 2 numbers, so they're 42 and 43.
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The hard way:
n*(n+1) = 1806
n^2 + n - 1806 = 0
(n-42)*(n+43) = 0
n = 42