document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894317>Question 894317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two numbers is 256 and the square of their sum is 784. What is the product of the two numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541909 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=541909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two numbers, x and y.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=256 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=256\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5E2=784 ALIGN=MIDDLE  ALT=\"%28x%2By%29%5E2=784\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The 784 equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2%2B2xy=784 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2%2B2xy=784\"   DISABLED_style= \"max-width:90%; height:auto;\" >;  subtract the circle 256 equation from it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xy=784-256 ALIGN=MIDDLE  ALT=\"2xy=784-256\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xy=528 ALIGN=MIDDLE  ALT=\"2xy=528\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28xy=264%29 ALIGN=MIDDLE  ALT=\"highlight_green%28xy=264%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----THE ACTUAL ANSWER TO THE QUESTION<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=264%2Fx ALIGN=MIDDLE  ALT=\"y=264%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and try substituting this into the circle equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28264%2Fx%29%5E2=256 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28264%2Fx%29%5E2=256\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2B264=256x%5E2 ALIGN=MIDDLE  ALT=\"x%5E4%2B264=256x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4-256x%5E2%2B264=0 ALIGN=MIDDLE  ALT=\"x%5E4-256x%5E2%2B264=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Discriminant:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=256%5E2-4%2A264=64480 ALIGN=MIDDLE  ALT=\"256%5E2-4%2A264=64480\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E5%2A5%2A13%2A31 ALIGN=MIDDLE  ALT=\"2%5E5%2A5%2A13%2A31\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=%28256%2B-+4sqrt%284030%29%29%2F2 ALIGN=MIDDLE  ALT=\"x%5E2=%28256%2B-+4sqrt%284030%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=0%2B-+%28%28256%2B-+4sqrt%284030%29%29%2F2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=0%2B-+%28%28256%2B-+4sqrt%284030%29%29%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is four different values.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This is not really finished.<BR>\n" );
document.write( "Still want to find y for each of those x values.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note, the actual question was to find the product of x and y, which was actually found early in this work.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28xy=264%29 ALIGN=MIDDLE  ALT=\"highlight%28xy=264%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );