document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=295508>Question 295508</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you set up an equation to solve problems that have two consecutive odd/even positive integers adding up to a certain sum. For example, the sum of the square of two consecutive odd positive integers is 130, find the values of the two integers. I know that they're 7 and 9, but only through guess and check. How would I set up an equation to solve problems like that? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #212955 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=212955\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the numbers be x and x+2<BR>\n" );
document.write( "x^2+(x+2)^2=130<BR>\n" );
document.write( "x^2+x^2+4x+4=130<BR>\n" );
document.write( "2x^2+4x-126=0<BR>\n" );
document.write( "x^2+2x-63=0<BR>\n" );
document.write( "(x+9)(x-7)=0<BR>\n" );
document.write( "x=7, x+2=9<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );