document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206795>Question 1206795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the sum of two numbers is 4 and the sum of their squares minus three times their product is 76 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 #844432 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=844432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x and y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By=4%2Cx%5E2%2By%5E2-3xy=76%29 ALIGN=MIDDLE  ALT=\"system%28x%2By=4%2Cx%5E2%2By%5E2-3xy=76%29\"   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=y=4-x ALIGN=MIDDLE  ALT=\"y=4-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substituting,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%284-x%29%5E2-3x%284-x%29=76 ALIGN=MIDDLE  ALT=\"x%5E2%2B%284-x%29%5E2-3x%284-x%29=76\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B16-8x%2Bx%5E2-12x%2B3x%5E2=76 ALIGN=MIDDLE  ALT=\"x%5E2%2B16-8x%2Bx%5E2-12x%2B3x%5E2=76\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2-20x=60 ALIGN=MIDDLE  ALT=\"5x%5E2-20x=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by 5,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x=12 ALIGN=MIDDLE  ALT=\"x%5E2-4x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-4%29=12 ALIGN=MIDDLE  ALT=\"x%28x-4%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Could the factors be 6 and 2?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%286-4%29=12 ALIGN=MIDDLE  ALT=\"6%286-4%29=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > yes.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Could the factors of 12 be  -6 and -2?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%28-6-4%29 ALIGN=MIDDLE  ALT=\"-6%28-6-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60 ALIGN=MIDDLE  ALT=\"60\"   DISABLED_style= \"max-width:90%; height:auto;\" >, no.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x can be 6.<BR>\n" );
document.write( "If that, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4-6 ALIGN=MIDDLE  ALT=\"y=4-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2 ALIGN=MIDDLE  ALT=\"y=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The numbers,  -2 and +6.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check?<BR>\n" );
document.write( "x=6;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E2%2B%28-2%29%5E2-3%2A6%28-2%29 ALIGN=MIDDLE  ALT=\"6%5E2%2B%28-2%29%5E2-3%2A6%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2B4%2B36 ALIGN=MIDDLE  ALT=\"36%2B4%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72%2B4 ALIGN=MIDDLE  ALT=\"72%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=76 ALIGN=MIDDLE  ALT=\"76\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The numbers are -2 and +6. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );