document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105525>Question 1105525</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the square of two number is 65 and the square of their sum is 121. Find the  numbers\r<BR>\n" );
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document.write( "please show workings </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720372 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E2+%2B+b%5E2+=+65+ ALIGN=MIDDLE  ALT=\"+a%5E2+%2B+b%5E2+=+65+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%2Bb%29%5E2+=+121+ ALIGN=MIDDLE  ALT=\"+%28a%2Bb%29%5E2+=+121+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (2)<BR>\n" );
document.write( "——<BR>\n" );
document.write( "(2) —> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%2Bb%29+=+11+ ALIGN=MIDDLE  ALT=\"+%28a%2Bb%29+=+11+\"   DISABLED_style= \"max-width:90%; height:auto;\" > —>   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+11+-+b+ ALIGN=MIDDLE  ALT=\"+a+=+11+-+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Substitute \"11 - b\" for \"a\" in (1):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2811-b%29%5E2+%2B+b%5E2+=+65+ ALIGN=MIDDLE  ALT=\"+%2811-b%29%5E2+%2B+b%5E2+=+65+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++121+-+22b+%2B+b%5E2+%2B+b%5E2+=+65+ ALIGN=MIDDLE  ALT=\"++121+-+22b+%2B+b%5E2+%2B+b%5E2+=+65+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2b%5E2+-22b+%2B56+=+0+ ALIGN=MIDDLE  ALT=\"+2b%5E2+-22b+%2B56+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E2+-+11b+%2B+28+=+0+ ALIGN=MIDDLE  ALT=\"+b%5E2+-+11b+%2B+28+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++%28b-7%29%28b-4%29+=+0+ ALIGN=MIDDLE  ALT=\"++%28b-7%29%28b-4%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b=4+ ALIGN=MIDDLE  ALT=\"+b=4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b=7+ ALIGN=MIDDLE  ALT=\"+b=7+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b=4  —>  a=7    <BR>\n" );
document.write( "Check:   <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E2+%2B+4%5E2++=+49%2B16+=+65+ ALIGN=MIDDLE  ALT=\"7%5E2+%2B+4%5E2++=+49%2B16+=+65+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (ok)<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284%2B7%29%5E2+=+11%5E2+=+121+ ALIGN=MIDDLE  ALT=\"+%284%2B7%29%5E2+=+11%5E2+=+121+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (ok)\r<BR>\n" );
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document.write( "b=7 —> a=4  (this is the same as above, the numbers are merely swapped)\r<BR>\n" );
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document.write( "—\r<BR>\n" );
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document.write( "===<BR>\n" );
document.write( "(2)  also —>  (a+b) = -11   —>   a = -11 - b\r<BR>\n" );
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document.write( "Substitute \"-11 - b\" for \"a\" in (1):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-11-b%29%5E2+%2B+b%5E2+=+65+ ALIGN=MIDDLE  ALT=\"+%28-11-b%29%5E2+%2B+b%5E2+=+65+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++121+%2B+22b+%2B+b%5E2+%2B+b%5E2+=+65+ ALIGN=MIDDLE  ALT=\"++121+%2B+22b+%2B+b%5E2+%2B+b%5E2+=+65+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2b%5E2+%2B22b+%2B56+=+0+ ALIGN=MIDDLE  ALT=\"+2b%5E2+%2B22b+%2B56+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E2+%2B11b+%2B+28+=+0+ ALIGN=MIDDLE  ALT=\"+b%5E2+%2B11b+%2B+28+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++%28b%2B7%29%28b%2B4%29+=+0+ ALIGN=MIDDLE  ALT=\"++%28b%2B7%29%28b%2B4%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b=-4+ ALIGN=MIDDLE  ALT=\"+b=-4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b=-7+ ALIGN=MIDDLE  ALT=\"+b=-7+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b=-4  —> a=-11-(-4) = -7\r<BR>\n" );
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document.write( "—<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-7%29%5E2+%2B+%28-4%29%5E2+=+49%2B16+=+65+ ALIGN=MIDDLE  ALT=\"+%28-7%29%5E2+%2B+%28-4%29%5E2+=+49%2B16+=+65+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (ok)<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++%28-4-7%29%5E2+=+%28-11%29%5E2++=+121++ ALIGN=MIDDLE  ALT=\"++%28-4-7%29%5E2+=+%28-11%29%5E2++=+121++\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (ok)\r<BR>\n" );
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document.write( "================\r<BR>\n" );
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document.write( "Answer (two solutions):<BR>\n" );
document.write( "    (4 and 7)    and    <BR>\n" );
document.write( "   (-4 and -7)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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