document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091663>Question 1091663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A positive real number is 4 more than another. If the sum of the squares of the two numbers is 72, find the numbers.<BR>\n" );
document.write( "(If applicable, write your answers in the form p&plusmn;qsqrt(r)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706103 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=706103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let one number be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" > and another number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q ALIGN=MIDDLE  ALT=\"q\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if one number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > more than another, we have:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=q%2B4 ALIGN=MIDDLE  ALT=\"p=q%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....eq.1\r<BR>\n" );
document.write( "\n" );
document.write( "if the sum of the squares of the two numbers is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72 ALIGN=MIDDLE  ALT=\"72\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2%2Bq%5E2=72 ALIGN=MIDDLE  ALT=\"p%5E2%2Bq%5E2=72\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq.2....substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" > from eq.1\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2B4%29%5E2%2Bq%5E2=72 ALIGN=MIDDLE  ALT=\"%28q%2B4%29%5E2%2Bq%5E2=72\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q ALIGN=MIDDLE  ALT=\"q\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%5E2%2B8q%2B16%2Bq%5E2=72 ALIGN=MIDDLE  ALT=\"q%5E2%2B8q%2B16%2Bq%5E2=72\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2q%5E2%2B8q%2B16-72=0 ALIGN=MIDDLE  ALT=\"2q%5E2%2B8q%2B16-72=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2q%5E2%2B8q-56=0 ALIGN=MIDDLE  ALT=\"2q%5E2%2B8q-56=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...simplify, divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%5E2%2B4q-28=0 ALIGN=MIDDLE  ALT=\"q%5E2%2B4q-28=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"q+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A1%2A%28-28%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"q+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A1%2A%28-28%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%28-4+%2B-+sqrt%28+16%2B112+%29%29%2F2 ALIGN=MIDDLE  ALT=\"q+=+%28-4+%2B-+sqrt%28+16%2B112+%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%28-4+%2B-+sqrt%28+16%2A4%2A2+%29%29%2F2 ALIGN=MIDDLE  ALT=\"q+=+%28-4+%2B-+sqrt%28+16%2A4%2A2+%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q+=+%28-4+%2B-+%284%2A2%29sqrt%282%29%29%2F2 ALIGN=MIDDLE  ALT=\"q+=+%28-4+%2B-+%284%2A2%29sqrt%282%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=+%28-cross%284%292+%2B-+%284%2Across%282%29%29sqrt%282+%29%29%2Fcross%282%29 ALIGN=MIDDLE  ALT=\"q=+%28-cross%284%292+%2B-+%284%2Across%282%29%29sqrt%282+%29%29%2Fcross%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28q+=+%28-2+%2B-+4%2Asqrt%282%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28q+=+%28-2+%2B-+4%2Asqrt%282%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=q%2B4 ALIGN=MIDDLE  ALT=\"p=q%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....eq.1\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%28-2+%2B-+4sqrt%282%29%29%2B4 ALIGN=MIDDLE  ALT=\"p=%28-2+%2B-+4sqrt%282%29%29%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%284-2+%2B-+4sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"p=%284-2+%2B-+4sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p=%282+%2B-+4sqrt%282+%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28p=%282+%2B-+4sqrt%282+%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );