document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=741096>Question 741096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a floor can be covered with 1,728 small square tiles. if tiles 2 inches longer on each side are used, the floor can be covered with 432 tiles. find the length of each side of the smaller tile. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #451850 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=451850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = side length of the smaller tile\r<BR>\n" );
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document.write( "1728*x^2 represents the area of this floor.\r<BR>\n" );
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document.write( "The other tile sized at x+2, covered that same area and this area expressible as 432*(x+2)^2 using these larger tiles.\r<BR>\n" );
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document.write( "Same area!   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1728x%5E2=432%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"1728x%5E2=432%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Find x.  \r<BR>\n" );
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document.write( "Plenty of ways to make mistakes in solving that equation.  Misfactoring, transposing an incorrect number, sign mistake,...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1728x%5E2=432%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"1728x%5E2=432%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2=%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2=%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2=x%5E2%2B4x%2B4 ALIGN=MIDDLE  ALT=\"4x%5E2=x%5E2%2B4x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-4x-4=0 ALIGN=MIDDLE  ALT=\"3x%5E2-4x-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  factorable, but,....\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284%2Bsqrt%2816-4%2A3%2A%28-4%29%29%29%2F%282%2A3%29 ALIGN=MIDDLE  ALT=\"x=%284%2Bsqrt%2816-4%2A3%2A%28-4%29%29%29%2F%282%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, direct use of quadratic formula solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284%2B8%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x=%284%2B8%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For factoring starting from the simplified quadratic equation,<BR>\n" );
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document.write( "Take the positive root, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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