document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185240>Question 1185240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive odd integers is 63.Find the numbers<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816032 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=816032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be one of the odd integers.<BR>\n" );
document.write( "then x + 2 would be another of the odd integers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "their product is 63.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you get x * (x + 2) = 63\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^2 + 2x = 63\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract 63 from both side of this equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^2 + 2x - 63 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "factor this quadratic equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(x + 9) * (x - 7) = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "set each factor to 0 and solve for x to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = -9 or x = 7\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when x = 7, the original equation becomes x * (x + 2) = 63 which becomes:<BR>\n" );
document.write( "7 * 9 = 63 which is true.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when x = -9, the original equation becomes -9 * (-9 + 2) which becomes:<BR>\n" );
document.write( "-9 * -7 = 63 which is also true.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the value of x can be either  -9 or 7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "unless you had a restriction that the numbers had to be negative or positive, either answer is good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );