SOLUTION: Susan closed her eyes and opened her algebra book.after checking the page numbers, she noticed their product was 650. To what 2 page numbers did she open her book to? Create an alg

Question 996346: Susan closed her eyes and opened her algebra book.after checking the page numbers, she noticed their product was 650. To what 2 page numbers did she open her book to? Create an algebraic equation.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
the two page numbers are consecutive integers, let x be the first page number, then
x*(x+1) = 650
x^2 +x = 650
x^2 +x -650 = 0
factor polynomial
***************************************************
determine the prime number factors of 650
5^2 * 2 * 13
looking at the prime factors, we see that 25 * 26 = 650, therefore
(x+26) * (x-25) = 0
x = -26 and x = 25
we want the positive value which is 25
the two page numbers are 25 and 26

RELATED QUESTIONS
Nicole opened her math book and multiplied the two page numbers that were facing her.... (answered by rfer)

sara opened her book and found that the product of the page numbers for two facing pages... (answered by Alan3354)

Andy opened a book and the product of the two page numbers facing him was 552. Find the... (answered by ankor@dixie-net.com,Alan3354)

Dada opened a book randomly and began adding every seventh page number beginning with the (answered by checkley71,Adam)

Mrs. Donegan opened a book so the sum of the page numbers on the facing pages was 33.... (answered by stanbon,Alan3354)

A book is opened to a page at random. The product of the facing page numbers is 3422 .... (answered by greenestamps,Alan3354)

Megan opens her math book to a random page. The page numbers she can see multiply to 756. (answered by math_tutor2020,ikleyn,greenestamps)

the page numbers of an open book totalled 973. at what pages was the book... (answered by Fombitz)

Suppose your textbook is opened at random and the product of the facing page numbers is... (answered by greenestamps,jim_thompson5910,ikleyn,MathTherapy)