document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033733>Question 1033733</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that there are natural numbers x, y such that <BR>\n" );
document.write( "x^3 + 4 = 17y^2 and xy = 8. How many examples are there?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648404 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=648404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If x and y are supposed to be natural numbers such that xy = 8, then the only ordered pairs (x,y) possible are (1,8), (2,4), (4,2), and (8,1).\r<BR>\n" );
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document.write( "By direct substitution, (1,8), (2,4), and (8,1) will not satisfy <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+%2B+4+=+17y%5E2 ALIGN=MIDDLE  ALT=\"x%5E3+%2B+4+=+17y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  (Use you calculator to confirm!)  The only pair that satisfies is (4,2). </SPAN>\n" );
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