document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629902>Question 629902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the squares of two numbers which differ by 3 is equal to 549.  Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396586 by </B><A HREF=/tutors/aboutme.mpl?userid=Charles3475><B>Charles3475(23)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Charles3475><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=Charles3475><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=396586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the first number.\r<BR>\n" );
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document.write( "The second number would then be x + 3\r<BR>\n" );
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document.write( "The sum of the squares would then be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28x%2B3%29%5E2+=+549 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28x%2B3%29%5E2+=+549\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (Given)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+x%5E2+%2B+6x+%2B+9+=+549 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x%5E2+%2B+6x+%2B+9+=+549\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (Expand terms)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+6x+-+540+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+6x+-+540+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (Subtract 549 from both sides and Add like terms)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+3x+-+270+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+3x+-+270+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >     (Divide both sides by 2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B18%29%2A%28x-15%29+=+0 ALIGN=MIDDLE  ALT=\"%28x%2B18%29%2A%28x-15%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (Factor the equation)\r<BR>\n" );
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document.write( "Either (x+18) = 0 or (x-15) = 0\r<BR>\n" );
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document.write( "x equals -18 or 15    (Solve for x) \r<BR>\n" );
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document.write( "There are two pairs of numbers that work (-18, -15) and (15, 18)\r<BR>\n" );
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