document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=432964>Question 432964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that x^4 +(plus) 4 is prime only for one value of x,where x belongs to set of natural no.s </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300120 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=300120\">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=x%5E4+%2B+4+=+%28x%5E4+%2B+4x%5E2+%2B+4%29+-+4x%5E2%0D%0A%0D%0A=++%28x%5E2+%2B+2%29%5E2+-+4x%5E2+=+%28x%5E2+-+2x+%2B+2%29%28x%5E2+%2B+2x+%2B+2%29%0D%0A%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For all natural numbers <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=+2 ALIGN=MIDDLE  ALT=\"x+%3E=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, each of the two factors above is a positive integer greater than 1, hence the number itself is composite.  If x = 1, the number itself is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%5E4+%2B+4+=+5 ALIGN=MIDDLE  ALT=\"1%5E4+%2B+4+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is prime.  The solution is complete. </SPAN>\n" );
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