document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168296>Question 168296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me solve (Given: n is odd )(Prove: n^2 is odd) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124038 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=124038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can you help me solve (Given: n is odd )(Prove: n^2 is odd)<BR>\n" );
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document.write( "If n is odd, n = 2x+1 where x is an integer.<BR>\n" );
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document.write( "Then n^2 = (2x+1)^2 = 4x^2+4x + 1 = 2(2x^2+2x) +1<BR>\n" );
document.write( "Since x is an integer, 2x^2+2x is an integer.<BR>\n" );
document.write( "So, 2(2x^2+2x)+1 follows the form 2(integer)+1<BR>\n" );
document.write( "So (2x+1)^2 is odd.<BR>\n" );
document.write( "Therefore n^2 is odd.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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