document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123198>Question 123198</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The difference between two positive nubers is 5 and the sum of their squares is 233. What are the numbers? </SPAN>\n" );
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document.write( "The difference between two positive nubers is 5\r<BR>\n" );
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document.write( "if numbers are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3Ey ALIGN=MIDDLE  ALT=\"x%3Ey\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=5 ALIGN=MIDDLE  ALT=\"x-y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " and the sum of their squares is 233\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2+=+233 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2+=+233\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "What are the numbers\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=5 ALIGN=MIDDLE  ALT=\"x-y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >......=>.....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y%2B5 ALIGN=MIDDLE  ALT=\"x=y%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >}\r<BR>\n" );
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document.write( "substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2+=+233 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2+=+233\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B5%29%5E2+%2B+y%5E2+=+233 ALIGN=MIDDLE  ALT=\"%28y%2B5%29%5E2+%2B+y%5E2+=+233\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+%2B+10y+%2B+25+%2B+y%5E2+=+233 ALIGN=MIDDLE  ALT=\"y%5E2+%2B+10y+%2B+25+%2B+y%5E2+=+233\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E2+%2B+10y+%2B+25+-+233+=+0 ALIGN=MIDDLE  ALT=\"2y%5E2+%2B+10y+%2B+25+-+233+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E2+%2B+10y+-+208=+0 ALIGN=MIDDLE  ALT=\"2y%5E2+%2B+10y+-+208=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+%2B+5y+-+104+=+0 ALIGN=MIDDLE  ALT=\"y%5E2+%2B+5y+-+104+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%2C2%5D+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"y%5B1%2C2%5D+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%2C2%5D+=+%28-5+%2B-+sqrt%28+5%5E2+-+4%2A1%2A%28-104%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"y%5B1%2C2%5D+=+%28-5+%2B-+sqrt%28+5%5E2+-+4%2A1%2A%28-104%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%2C2%5D+=+%28-5+%2B-+sqrt%28+25+%2B+416+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"y%5B1%2C2%5D+=+%28-5+%2B-+sqrt%28+25+%2B+416+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%2C2%5D+=+%28-5+%2B-+sqrt%28+441%29%29%2F2+ ALIGN=MIDDLE  ALT=\"y%5B1%2C2%5D+=+%28-5+%2B-+sqrt%28+441%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%2C2%5D+=+%28-5+%2B-+21%29%2F2+ ALIGN=MIDDLE  ALT=\"y%5B1%2C2%5D+=+%28-5+%2B-+21%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D+=+%28-5+%2B+21%29%2F2+ ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+%28-5+%2B+21%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D+=+16%2F2+ ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+16%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D+=+8+ ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D+=+%28-5+-+21%29%2F2+ ALIGN=MIDDLE  ALT=\"y%5B2%5D+=+%28-5+-+21%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D+=+%28+-26%29%2F2+ ALIGN=MIDDLE  ALT=\"y%5B2%5D+=+%28+-26%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D+=++-13 ALIGN=MIDDLE  ALT=\"y%5B2%5D+=++-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "......=>.....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=y1%2B5=+8%2B5=13 ALIGN=MIDDLE  ALT=\"x1=y1%2B5=+8%2B5=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >}\r<BR>\n" );
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document.write( "......=>.....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x2=y2%2B5=+-13%2B5=-8 ALIGN=MIDDLE  ALT=\"x2=y2%2B5=+-13%2B5=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >}\r<BR>\n" );
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document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=5 ALIGN=MIDDLE  ALT=\"x-y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >......=>.....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13-8=5 ALIGN=MIDDLE  ALT=\"13-8=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8-%28-13%29=-8%2B13=5 ALIGN=MIDDLE  ALT=\"-8-%28-13%29=-8%2B13=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%5E2+%2B+8%5E2+=+233 ALIGN=MIDDLE  ALT=\"13%5E2+%2B+8%5E2+=+233\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=169+%2B+64+=+233 ALIGN=MIDDLE  ALT=\"169+%2B+64+=+233\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=233=+233 ALIGN=MIDDLE  ALT=\"233=+233\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8%29%5E2+%2B+%28-13%29%5E2+=+233 ALIGN=MIDDLE  ALT=\"%28-8%29%5E2+%2B+%28-13%29%5E2+=+233\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64+%2B+169++=+233 ALIGN=MIDDLE  ALT=\"64+%2B+169++=+233\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=233=+233 ALIGN=MIDDLE  ALT=\"233=+233\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );