document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=298382>Question 298382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two numbers differ by 7 and the sum of their squares is 29. 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 #214660 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=214660\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set-Up<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+B+%2B+7 ALIGN=MIDDLE  ALT=\"A+=+B+%2B+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E2+%2B+B%5E2+=+29 ALIGN=MIDDLE  ALT=\"A%5E2+%2B+B%5E2+=+29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Solution:<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Plug (B+7) into equation 2 for A<BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E2+%2B+B%5E2+=+29 ALIGN=MIDDLE  ALT=\"A%5E2+%2B+B%5E2+=+29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28B+%2B+7%29%5E2+%2B+B%5E2+=+29 ALIGN=MIDDLE  ALT=\"%28B+%2B+7%29%5E2+%2B+B%5E2+=+29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2+%2B+7B+%2B+7B+%2B+49+%2B+B%5E2+=+29 ALIGN=MIDDLE  ALT=\"B%5E2+%2B+7B+%2B+7B+%2B+49+%2B+B%5E2+=+29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2B%5E2+%2B+14B+%2B+49+=+29 ALIGN=MIDDLE  ALT=\"2B%5E2+%2B+14B+%2B+49+=+29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Subtract 29 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2B%5E2+%2B+14B+%2B+20+=+0 ALIGN=MIDDLE  ALT=\"2B%5E2+%2B+14B+%2B+20+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out a 2 on the left side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28B%5E2+%2B+7B+%2B+10%29+=+0 ALIGN=MIDDLE  ALT=\"2%2A%28B%5E2+%2B+7B+%2B+10%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divides both sides by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2+%2B+7B+%2B+10+=+0 ALIGN=MIDDLE  ALT=\"B%5E2+%2B+7B+%2B+10+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Find the factor of 10: 1,2,5,10<BR>\n" );
document.write( "2 & 5 fit the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2+%2B+7B+%2B+10+=+0 ALIGN=MIDDLE  ALT=\"B%5E2+%2B+7B+%2B+10+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > rewrite teh equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+%2B+5%29+%2A+%28B+%2B+2%29+=+0 ALIGN=MIDDLE  ALT=\"B+%2B+5%29+%2A+%28B+%2B+2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  There are two answers to solve for.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+%2B+5+=+0 ALIGN=MIDDLE  ALT=\"B+%2B+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B+=+-5%29 ALIGN=MIDDLE  ALT=\"highlight%28B+=+-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+%2B+2+=+0 ALIGN=MIDDLE  ALT=\"B+%2B+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B+=+-2%29 ALIGN=MIDDLE  ALT=\"highlight%28B+=+-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Note that sice you have 2 B values, you will need to find 2 A values<BR>\n" );
document.write( "Plug the B values into equation 1 to find A<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+B+%2B+7 ALIGN=MIDDLE  ALT=\"A+=+B+%2B+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+-5+%2B+7 ALIGN=MIDDLE  ALT=\"A+=+-5+%2B+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A+=+2%29 ALIGN=MIDDLE  ALT=\"highlight%28A+=+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+-2+%2B+7 ALIGN=MIDDLE  ALT=\"A+=+-2+%2B+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A+=+5%29 ALIGN=MIDDLE  ALT=\"highlight%28A+=+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So you have two solutions:<BR>\n" );
document.write( "The numbers can be -5 and 2<BR>\n" );
document.write( "or they can be -2 and 5<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );