document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=353384>Question 353384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive odd negative integers is 143.  Find the integers.<BR>\n" );
document.write( "The book gives a hint: if one integer is x, the next consecutive odd integer is x+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #252502 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=252502\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive odd negative integers is 143. Find the integers.<BR>\n" );
document.write( "The book gives a hint: if one integer is x, the next consecutive odd integer is x+2.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Your \"book\" should know better.<BR>\n" );
document.write( "Odd numbers should always be represented as one more<BR>\n" );
document.write( "than or one less than an even number.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "1st: 2x+1<BR>\n" );
document.write( "2nd: 2x+3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "(2x+1)(2x+3) = 143<BR>\n" );
document.write( "---<BR>\n" );
document.write( "4x^2 + 8x + 3 = 143<BR>\n" );
document.write( "4x^2 + 8x = 140<BR>\n" );
document.write( "x^2 + 2x = 35<BR>\n" );
document.write( "x^2 + 2x - 35 = 0<BR>\n" );
document.write( "(x+7)(x-5) = 0<BR>\n" );
document.write( "x = -7 or x = 5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "If x = -7<BR>\n" );
document.write( "1st: 2x+1 = -13<BR>\n" );
document.write( "2nd: 2x+3 = -11<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "If x = 5<BR>\n" );
document.write( "1st: 2x+1 = 11<BR>\n" );
document.write( "2nd: 2x+3 = 13<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Note:<BR>\n" );
document.write( "If you use x and x+2 to represent the consecutive odd numbers you get:<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "x(x+1) = 143<BR>\n" );
document.write( "x^2+x = 143<BR>\n" );
document.write( "x^2+x-143 = 0<BR>\n" );
document.write( "x = 11.4687 or x = -12.4687<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "These are not odd integers.<BR>\n" );
document.write( "=================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );