document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2376>Question 2376</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,  I have two questions:\r<BR>\n" );
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document.write( "1.  The sum of two numbers is 18 and the sum of their squares is 164.  Find the numbers.\r<BR>\n" );
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document.write( "2.  Find two numbers that total 12 and whose squares total 90.\r<BR>\n" );
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document.write( "Thx! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #994 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at my previous answers on types of questions like these.\r<BR>\n" );
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document.write( "Here is the first one to the equation stage. You can work it our from there...\r<BR>\n" );
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document.write( "Define 2  numbers to be x and y, so we know x+y = 18 --eqn1\r<BR>\n" );
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document.write( "Also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+y%5E2%29+=+164 ALIGN=MIDDLE  ALT=\"%28x%5E2+%2B+y%5E2%29+=+164\"   DISABLED_style= \"max-width:90%; height:auto;\" > --eqn2\r<BR>\n" );
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document.write( "From 1, x=18-y. Sub this into eqn2 to give <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2818-y%29%5E2+%2B+y%5E2+=+164 ALIGN=MIDDLE  ALT=\"%2818-y%29%5E2+%2B+y%5E2+=+164\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Expand this, simplify it and solve the quadratic equation to find y then find x from equation 1.\r<BR>\n" );
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document.write( "then try the second one yourself\r<BR>\n" );
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document.write( "Jon<BR>\n" );
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