document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=438234>Question 438234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you please show me how to solve the following problem: show that the statement is true for n^2-n+2 is divisible by 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303104 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=303104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2+-+n+%2B+2 ALIGN=MIDDLE  ALT=\"n%5E2+-+n+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let n be any even integer.  ==> n = 2k ==><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2+-+n+%2B+2+=+4k%5E2+-+2k+%2B+2+=+%0D%0A%0D%0A2%282k%5E2+-+k+%2B+1%29 ALIGN=MIDDLE  ALT=\"n%5E2+-+n+%2B+2+=+4k%5E2+-+2k+%2B+2+=+%0D%0A%0D%0A2%282k%5E2+-+k+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, hence the expression is even.\r<BR>\n" );
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document.write( "Let n be odd.  ==> n = 2k-1 ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2+-+n+%2B+2+=+4k%5E2+-+4k+%2B+1+-+2k+%2B+1+%2B+2%0D%0A%0D%0A=+4k%5E2-6k+%2B+4+=+2%282k%5E2+-+3k+%2B+2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, and so again the expression is even. </SPAN>\n" );
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