document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132098>Question 132098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An electric company is placing utility poles along a road. It is determined that 5 fewer poles per kilometre would be necessary if the distance between the poles were increased by 10metres. How many poles are being placed each km? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96454 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of poles in a km<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+ ALIGN=MIDDLE  ALT=\"x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >= initial distance between poles in meters<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%281000%2Fx%29+%2B+1 ALIGN=MIDDLE  ALT=\"n+=+%281000%2Fx%29+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > add 1 to account for poles at start and finish<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+-+5+=+1000%2F%28x%2B10%29+%2B+1 ALIGN=MIDDLE  ALT=\"n+-+5+=+1000%2F%28x%2B10%29+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides of (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+1000%2F%28x%2B10%29+%2B+6 ALIGN=MIDDLE  ALT=\"n+=+1000%2F%28x%2B10%29+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Set the right side equal to right side of (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000%2F%28x%2B10%29+%2B+6+=+1000%2Fx+%2B+1 ALIGN=MIDDLE  ALT=\"1000%2F%28x%2B10%29+%2B+6+=+1000%2Fx+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%28x%2B10%29 ALIGN=MIDDLE  ALT=\"x%2A%28x%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000x+%2B+6x%2A%28x%2B10%29+=+1000%2A%28x%2B10%29+%2B+x%2A%28x%2B10%29 ALIGN=MIDDLE  ALT=\"1000x+%2B+6x%2A%28x%2B10%29+=+1000%2A%28x%2B10%29+%2B+x%2A%28x%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000x+%2B+6x%5E2+%2B+60x+=+1000x+%2B+10000+%2B+x%5E2+%2B+10x ALIGN=MIDDLE  ALT=\"1000x+%2B+6x%5E2+%2B+60x+=+1000x+%2B+10000+%2B+x%5E2+%2B+10x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E2+%2B+50x+-+10000+=+0 ALIGN=MIDDLE  ALT=\"5x%5E2+%2B+50x+-+10000+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide through by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+10x+-+2000+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+10x+-+2000+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+10x+%2B+%2810%2F2%29%5E2+=+2000+%2B+%2810%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+10x+%2B+%2810%2F2%29%5E2+=+2000+%2B+%2810%2F2%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=%28x+%2B+5%29%5E2+=+2025 ALIGN=MIDDLE  ALT=\"%28x+%2B+5%29%5E2+=+2025\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+45+-+5 ALIGN=MIDDLE  ALT=\"x+=+45+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+40 ALIGN=MIDDLE  ALT=\"x+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > m between poles<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%281000%2Fx%29+%2B+1 ALIGN=MIDDLE  ALT=\"n+=+%281000%2Fx%29+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+-+5+=+1000%2F%28x%2B10%29+%2B+1 ALIGN=MIDDLE  ALT=\"n+-+5+=+1000%2F%28x%2B10%29+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%281000%2F40%29+%2B+1 ALIGN=MIDDLE  ALT=\"n+=+%281000%2F40%29+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+26 ALIGN=MIDDLE  ALT=\"n+=+26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+-+5+=+1000%2F%2840%2B10%29+%2B+1 ALIGN=MIDDLE  ALT=\"n+-+5+=+1000%2F%2840%2B10%29+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+-+5+=+21 ALIGN=MIDDLE  ALT=\"n+-+5+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+26 ALIGN=MIDDLE  ALT=\"n+=+26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );