document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=819682>Question 819682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me answer this confusing problem:<BR>\n" );
document.write( "The number of doors in Alex's house, when doubled is a perfect square. When the number of doors is decreased by two, the result is ten more than the square root of the perfect square. How many doors are in Alex's house. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #493204 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=493204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let number of doors be x\r<BR>\n" );
document.write( "\n" );
document.write( "2x is a perfect square\r<BR>\n" );
document.write( "\n" );
document.write( "doors increased by 2<BR>\n" );
document.write( "meaning x+2\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29+=+sqrt%282x%29%2B10 ALIGN=MIDDLE  ALT=\"%28x-2%29+=+sqrt%282x%29%2B10\"   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=x-2-10=+sqrt%282x%29 ALIGN=MIDDLE  ALT=\"x-2-10=+sqrt%282x%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=x-12=sqrt%282x%29 ALIGN=MIDDLE  ALT=\"x-12=sqrt%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "square both sides\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-12%29%5E2=+2x ALIGN=MIDDLE  ALT=\"%28x-12%29%5E2=+2x\"   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=x%5E2-24x%2B144=2x ALIGN=MIDDLE  ALT=\"x%5E2-24x%2B144=2x\"   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=x%5E2-26x%2B144=0 ALIGN=MIDDLE  ALT=\"x%5E2-26x%2B144=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=x%5E2-18x-8x%2B144=0 ALIGN=MIDDLE  ALT=\"x%5E2-18x-8x%2B144=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "x(x-18)-8(x-18)=0\r<BR>\n" );
document.write( "\n" );
document.write( "(x-18)(x-8)=0\r<BR>\n" );
document.write( "\n" );
document.write( "x=18 OR 8\r<BR>\n" );
document.write( "\n" );
document.write( "8 not possible\r<BR>\n" );
document.write( "\n" );
document.write( "18 doors\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );