SOLUTION: A Student opens a mathematics book to two facing pages. The product of the page numbers is 342. What are the page numbers. The First page is The second page is Thank you for you

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Question 176175: A Student opens a mathematics book to two facing pages. The product of the page numbers is 342. What are the page numbers.
The First page is
The second page is
Thank you for your help
Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
lets call the page numbers a and a+1
:
a(a+1)=342
:

:
answer:
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=1369 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 18, -19. Here's your graph:
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