document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79073>Question 79073</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of an integer and its square is 12.  Find the integer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56768 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=56768\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=the integer\r<BR>\n" );
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document.write( "Now we are told that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx%5E2=12 ALIGN=MIDDLE  ALT=\"x%2Bx%5E2=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >  subtract 12 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx-12=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx-12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  quadratic in standard form and it can be factored.  The factors are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%28x-3%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%28x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Remember, when the A coefficient of a quadratic is 1, then the B coefficient will be the sum of the factors of the C coefficient, if the quadratic is factorable.\r<BR>\n" );
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document.write( "x=-4-----------------------one answer\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "x=3---------------------------another answer\r<BR>\n" );
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document.write( "CK  <BR>\n" );
document.write( "-4+(-4)^2=12<BR>\n" );
document.write( "-4+16=12<BR>\n" );
document.write( "12=12\r<BR>\n" );
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document.write( "Now for 3\r<BR>\n" );
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document.write( "3+(3)^2=12<BR>\n" );
document.write( "3+9=12<BR>\n" );
document.write( "12=12\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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