document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427847>Question 427847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two integers whose sum is 12 and whose squares differ by 24.\r<BR>\n" );
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document.write( "Here's what I tried.<BR>\n" );
document.write( "x + y = 12 , x^2 - y^2 = 24<BR>\n" );
document.write( "x = -y + 12<BR>\n" );
document.write( "(-y + 12)^2 - y^2 = 24<BR>\n" );
document.write( "y^2 - 24y + 24 - y^2 = 24<BR>\n" );
document.write( "-24y + 24 = 24<BR>\n" );
document.write( "-24y = 0<BR>\n" );
document.write( "y = 0\r<BR>\n" );
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document.write( "x + 0 = 12<BR>\n" );
document.write( "x = 12\r<BR>\n" );
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document.write( "But then it won't match the other problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297475 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=297475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The error in your solution is on the fourth line: When you expand <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-y+%2B+12%29%5E2 ALIGN=MIDDLE  ALT=\"%28-y+%2B+12%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > you should get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+-+24y+%2B+144 ALIGN=MIDDLE  ALT=\"y%5E2+-+24y+%2B+144\"   DISABLED_style= \"max-width:90%; height:auto;\" >, not <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+-+24y+%2B+24 ALIGN=MIDDLE  ALT=\"y%5E2+-+24y+%2B+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "From this, we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+-+24y+%2B+144+-+y%5E2+=+24 ALIGN=MIDDLE  ALT=\"y%5E2+-+24y+%2B+144+-+y%5E2+=+24\"   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=-24y+%2B+144+=+24 ALIGN=MIDDLE  ALT=\"-24y+%2B+144+=+24\"   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=-24y+=+-120 ALIGN=MIDDLE  ALT=\"-24y+=+-120\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> y = 5, x = 7. Also, 7^2 - 5^2 = 24. </SPAN>\n" );
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