document.write( "Question 115555: I really need help with this problem. The problem says to find two consecutive intergers whose product is 90, it must be solved algebraically. Thank You. \n" ); document.write( "
Algebra.Com's Answer #84109 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Remember, consecutive integers follow the pattern \"x\", \"x%2B1\", etc.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So if their product is 90, then \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%28x%2B1%29=90\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2Bx=90\" Distribute\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2Bx-90=0\" Move all of the terms to the left side\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%2B10%29%28x-9%29=0\" Factor the left side (note: if you need help with factoring, check out this solver)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "\n" ); document.write( "\"x%2B10=0\" or \"x-9=0\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-10\" or \"x=9\" Now solve for x in each case\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So our answer is \r
\n" ); document.write( "\n" ); document.write( " \"x=-10\" or \"x=9\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So our two numbers are either 9,10 or -10,-9
\n" ); document.write( "
\n" );