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
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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
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