document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126736>Question 126736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 17 and the sum of their square is 145.  Find the larger number.<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 #92866 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92866\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If one number is x and the other y, their sum, x + y is 17.  The sum of their squares, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=145 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=145\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=17 ALIGN=MIDDLE  ALT=\"x%2By=17\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+17-x ALIGN=MIDDLE  ALT=\"y+=+17-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=145 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=145\"   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%2B%2817-x%29%5E2=145 ALIGN=MIDDLE  ALT=\"x%5E2%2B%2817-x%29%5E2=145\"   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%2B%28289-34x%2Bx%5E2%29=145 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28289-34x%2Bx%5E2%29=145\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-34x%2B289-145=0 ALIGN=MIDDLE  ALT=\"2x%5E2-34x%2B289-145=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-34x%2B144=0 ALIGN=MIDDLE  ALT=\"2x%5E2-34x%2B144=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-17x%2B72=0 ALIGN=MIDDLE  ALT=\"x%5E2-17x%2B72=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=-8%2A-9=72 ALIGN=MIDDLE  ALT=\"-8%2A-9=72\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8%2B%28-9%29=+-17 ALIGN=MIDDLE  ALT=\"-8%2B%28-9%29=+-17\"   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=%28x-8%29%28x-9%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-8%29%28x-9%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, x is either 8 or 9, and then y is either 9 or 8.  Either way, the larger number is 9.\r<BR>\n" );
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document.write( "Check:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2B9=17 ALIGN=MIDDLE  ALT=\"8%2B9=17\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E2%2B9%5E2=64%2B81=145 ALIGN=MIDDLE  ALT=\"8%5E2%2B9%5E2=64%2B81=145\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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