SOLUTION: A student opens a mathematics book to 2 facing pages. The product of the page numbers is 1806. Find the page numbers. The first page number is The second page number is

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Question 182692: A student opens a mathematics book to 2 facing pages. The product of the page numbers is 1806. Find the page numbers. The first page number is
The second page number is
Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
lets call the 2 consecutive pages a and b......but we know that b=a+1
:
a(a+1)=1806
:
a^2+a-1806=0
:
there arent negative page numbers so throw out -43
:

:

:
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=7225 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 42, -43. Here's your graph:
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