SOLUTION: A student opens a mathematics book to two facing pages. The product of the page numbers is 2352. Find the page numbers. The first page is? and The second page is?

Question 328726: A student opens a mathematics book to two facing pages. The product of the page numbers is 2352. Find the page numbers. The first page is? and The second page is?
Found 2 solutions by checkley77, josmiceli:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X(X+1)=2352
X^2+X-2352=0
(X+49)(X-48)=0
X-48=0
X=48 IS THE NUMBER OF THE LEFT HAND PAGE.
48+1=49 IS THE NUMBER OF THE RIGHT HAND PAGE. pROOF:
48*49=2352
2352=2352
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the first page
The 2nd page will be
given:

Complete the square:

Take the square root of both sides

The pages are 48 and 49
check:

OK
RELATED QUESTIONS
A student opens a mathematics book to two facing pages. The product of the page numbers... (answered by checkley77,jim_thompson5910)
a student opens a mathematics book to two facing pages. The product of the page numbers... (answered by jim_thompson5910)
A student opens a mathematics book to two facing pages. the product of the page numbers... (answered by richard1234)
A student opens a mathematics book to two facing pages. The product of the page numbers... (answered by checkley77)
A student opens a mathematics book to two facing pages. The product of the page numbers... (answered by stanbon)
a student opens a mathematics book to two facing pages. the product of the page numbers... (answered by edjones)
A student opens a mathematics book to two facing pages. The product of the page numbers... (answered by checkley77,Grinnell)
A student opens a mathematics book to two facing pages. The product of page numbers is... (answered by Alan3354)
A student opens a mathematics book to two facing pages. the product of the page number is (answered by Alan3354)