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 #212951 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=212951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The numbers are n and n+2, or x and x+2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28x%2B2%29%5E2+=+130 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28x%2B2%29%5E2+=+130\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "like that<BR>\n" );
document.write( "You can solve the quadratic, and get 7&9, or -9 & -7<BR>\n" );
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document.write( "But, if you're taking a timed test, do it like this:<BR>\n" );
document.write( "130/2 = 65<BR>\n" );
document.write( "square root of 65 =~ 8, between the 2 numbers.<BR>\n" );
document.write( "--> 7 & 9<BR>\n" );
document.write( "don't waste time<BR>\n" );
document.write( " </SPAN>\n" );
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