document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983431>Question 983431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> IF THE SUM OF TWO NUMBERS IS 7 AND THE SUM OF THEIR CUBES IS 133 FIND THE SUM OF THEIR SQUARES? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604227 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604227\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> IF THE SUM OF TWO NUMBERS IS 7 AND THE SUM OF THEIR CUBES IS 133 FIND THE SUM OF THEIR SQUARES?<BR>\n" );
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document.write( "They're small numbers, to trial and error is the easiest way.<BR>\n" );
document.write( "1 & 6 --> 1 + 216 = 217 NG<BR>\n" );
document.write( "2 & 5 --> 8 + 125 = 133<BR>\n" );
document.write( "You can find the squares of 2 & 5.<BR>\n" );
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document.write( "If the numbers were larger, or not integers:<BR>\n" );
document.write( "x + y = 7<BR>\n" );
document.write( "x^3 + y^3 = 133<BR>\n" );
document.write( "Sub for y, y = 7-x<BR>\n" );
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document.write( "x^3 + (7-x)^3 = 133<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+%2B+343+-+147x%5E2+%2B+147x+-+x%5E3+=+133 ALIGN=MIDDLE  ALT=\"x%5E3+%2B+343+-+147x%5E2+%2B+147x+-+x%5E3+=+133\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=147x%5E2+-+147x+-+210+=+0 ALIGN=MIDDLE  ALT=\"147x%5E2+-+147x+-+210+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%5E2+-+7x+-+10+=+0 ALIGN=MIDDLE  ALT=\"7x%5E2+-+7x+-+10+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It's easy to solve for x when you know the answer.\r<BR>\n" );
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