document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199929>Question 1199929</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the product xy, where x and y are positive integers and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=3x%5E4-x%5E3%2Ay-9317 ALIGN=MIDDLE  ALT=\"0=3x%5E4-x%5E3%2Ay-9317\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833915 by </B><A HREF=/tutors/aboutme.mpl?userid=Yoshi16><B>Yoshi16(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Yoshi16><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=833915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The above equation can be re written as \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E4-x%5E3%2Ay+=+9317 ALIGN=MIDDLE  ALT=\"3x%5E4-x%5E3%2Ay+=+9317\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then we can factor out an <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3 ALIGN=MIDDLE  ALT=\"x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > term\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%283x-y%29+=+9317 ALIGN=MIDDLE  ALT=\"x%5E3%283x-y%29+=+9317\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then we can prime factorize 9317, which gives us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7+%2A+11%5E3 ALIGN=MIDDLE  ALT=\"7+%2A+11%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which means that from our above factored equation, x can be either 1 or 11\r<BR>\n" );
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document.write( "if x = 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+-+y+=+7 ALIGN=MIDDLE  ALT=\"3x+-+y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y+=+4 ALIGN=MIDDLE  ALT=\"-y+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-4 ALIGN=MIDDLE  ALT=\"y+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "since we get a negative value of y, x can only be 11\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2811%29+-+y+=+7 ALIGN=MIDDLE  ALT=\"+3%2811%29+-+y+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-y+=+-26 ALIGN=MIDDLE  ALT=\"-y+=+-26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+26 ALIGN=MIDDLE  ALT=\"y+=+26\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "therefore the product of x and y is 286\r<BR>\n" );
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document.write( "cheers<BR>\n" );
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