document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=293899>Question 293899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. Aimee Eslinger is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 meters, the new total area of the garden will be 169 square meters. Find the length of each side of the original garden. Write the answer as a polynomial in descending powers of x.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #212167 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=212167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A square flower garden.<BR>\n" );
document.write( "If each side of the original garden is increased by 7 meters, the new total area<BR>\n" );
document.write( " of the garden will be 169 square meters.<BR>\n" );
document.write( " Find the length of each side of the original garden.<BR>\n" );
document.write( " Write the answer as a polynomial in descending powers of x.<BR>\n" );
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document.write( "Let x = length of the side of the original garden<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+7) = length of the expanded garden<BR>\n" );
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document.write( "(x+7)^2 = 169<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "x^2 + 14x + 49 = 169<BR>\n" );
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document.write( "x^2 + 14x + 49 - 169 = 0<BR>\n" );
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document.write( "x^2 + 14x - 120 = 0;  (polynomial in descending powers of x)<BR>\n" );
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document.write( "This will factor<BR>\n" );
document.write( "(x+20)(x-6) = 0<BR>\n" );
document.write( "The positive solution<BR>\n" );
document.write( "x = 6 original length<BR>\n" );
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document.write( "Check solution<BR>\n" );
document.write( "(6+7)^2 = 169 </SPAN>\n" );
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