document.write( "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. \n" ); document.write( "
| Algebra.Com's Answer #614830 by rothauserc(4718)     You can put this solution on YOUR website! the two page numbers are consecutive integers, let x be the first page number, then \n" ); document.write( "x*(x+1) = 650 \n" ); document.write( "x^2 +x = 650 \n" ); document.write( "x^2 +x -650 = 0 \n" ); document.write( "factor polynomial \n" ); document.write( "*************************************************** \n" ); document.write( "determine the prime number factors of 650 \n" ); document.write( "5^2 * 2 * 13 \n" ); document.write( "looking at the prime factors, we see that 25 * 26 = 650, therefore \n" ); document.write( "(x+26) * (x-25) = 0 \n" ); document.write( "x = -26 and x = 25 \n" ); document.write( "we want the positive value which is 25 \n" ); document.write( "the two page numbers are 25 and 26\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |