document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163545>Question 163545</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The top of a 15-foot ladder is 3 ft farther up a wall than the foot of the ladder is from the bottom of the wall. How far is the foot of the ladder from the bottom wall? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120498 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=120498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 15^2=(x+3)^2+x^2<BR>\n" );
document.write( "225=x^2+6x+9+x^2<BR>\n" );
document.write( "2x^2+6x+9-225=0<BR>\n" );
document.write( "2x^2+6x-216=0<BR>\n" );
document.write( "2(x^2=3x-108)=0<BR>\n" );
document.write( "2(X=12)(x-9)=0<BR>\n" );
document.write( "x-9=0<BR>\n" );
document.write( "x=9 feet is the distance from the wall to the bottom of the ladder.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "9^2+(9+3)^2=15^2<BR>\n" );
document.write( "81+12^2=225<BR>\n" );
document.write( "81+144=225<BR>\n" );
document.write( "225=225<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );