document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184171>Question 184171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the sides of a square are lenghtened by 8cm, the area becomes 144 cm^2. Find the length of a side of the original square. \r<BR>\n" );
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document.write( "Which form of the quadratic equation would I use to solve this problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138203 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=138203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let S be the length of the side of the original square.<BR>\n" );
document.write( "The area of the original square is expressed by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bo%5D+=+S%5E2 ALIGN=MIDDLE  ALT=\"A%5Bo%5D+=+S%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When the side, S, is increased by 8cm, the length of the side of the new square becomes S+8 and the new area is expressed as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Bn%5D+=+%28S%2B8%29%5E2 ALIGN=MIDDLE  ALT=\"A%5Bn%5D+=+%28S%2B8%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is equal to 144 sq.cm.<BR>\n" );
document.write( "So you can set up the equation to solve for S...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28S%2B8%29%5E2+=+144 ALIGN=MIDDLE  ALT=\"%28S%2B8%29%5E2+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2%2B16S%2B64+=+144 ALIGN=MIDDLE  ALT=\"S%5E2%2B16S%2B64+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 144 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28S%5E2%2B16S-80+=+0%29 ALIGN=MIDDLE  ALT=\"highlight%28S%5E2%2B16S-80+=+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor this quadratic equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S-4%29%28S%2B20%29+=+0 ALIGN=MIDDLE  ALT=\"S-4%29%28S%2B20%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product rule:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S-4+=+0 ALIGN=MIDDLE  ALT=\"S-4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%2B20+=+0 ALIGN=MIDDLE  ALT=\"S%2B20+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28S+=+4%29 ALIGN=MIDDLE  ALT=\"highlight%28S+=+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+-20 ALIGN=MIDDLE  ALT=\"S+=+-20\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard the negative solution as the length must be a positive value.<BR>\n" );
document.write( "The length of the side of the original square is 4cm. </SPAN>\n" );
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