A student opens a mathematics book to two facing pages. The product of the page number is 1332. Find the page numbers
First page
Second page

Question

A student opens a mathematics book to two facing pages.  The product of the page number is 1332.  Find the page numbers
First page
Second page

agreene · Answer

So, we can assume that the first page is x; in that case the next page is x+1 so then we can set up an equation to help us.$$x*(x+1)=1332$$ we can expand that to the polynomial: $$x^2+x=1332$$  we then solve for x and it will tell us the first page (then add one for the second page) 
you should get -37 and 36 as the roots, we can rule out -37 because books dont generally have negative pages, and we know:
First page: 36
Second page: 37