document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=934984>Question 934984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Juma bought a certain number of orange for 36 dollars. If each orange had cost 0.50 dollar less, he could have bought six more oranges for the same amount of money. How many oranges did he buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568109 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=568109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the actual number of<BR>\n" );
document.write( "oranges he bought<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "The cost of each orange he bought<BR>\n" );
document.write( "was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36%2Fn+ ALIGN=MIDDLE  ALT=\"+36%2Fn+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "They are asking you \" what if each<BR>\n" );
document.write( "orange had cost <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36%2Fn+-+.5+ ALIGN=MIDDLE  ALT=\"+36%2Fn+-+.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Now you can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+=+%28+36%2Fn+-+.5+%29%2A%28+n+%2B+6+%29+ ALIGN=MIDDLE  ALT=\"+36+=+%28+36%2Fn+-+.5+%29%2A%28+n+%2B+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+=+36+-+.5n+%2B+216%2Fn+-+3+ ALIGN=MIDDLE  ALT=\"+36+=+36+-+.5n+%2B+216%2Fn+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-.5n+%2B+216%2Fn-+3+=+0+ ALIGN=MIDDLE  ALT=\"+-.5n+%2B+216%2Fn-+3+=+0+\"   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=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-.5n%5E2+-+3n+%2B+216+=+0+ ALIGN=MIDDLE  ALT=\"+-.5n%5E2+-+3n+%2B+216+=+0+\"   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=+10+ ALIGN=MIDDLE  ALT=\"+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-5n%5E2+-+30n+%2B+2160+=+0+ ALIGN=MIDDLE  ALT=\"+-5n%5E2+-+30n+%2B+2160+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-n%5E2+-+6n+%2B+432+=+0+ ALIGN=MIDDLE  ALT=\"+-n%5E2+-+6n+%2B+432+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Use the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-1+ ALIGN=MIDDLE  ALT=\"+a+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-6+ ALIGN=MIDDLE  ALT=\"+b+=+-6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+432+ ALIGN=MIDDLE  ALT=\"+c+=+432+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%2A%28-1%29%2A432+%29%29%2F%282%2A%28-1%29%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%2A%28-1%29%2A432+%29%29%2F%282%2A%28-1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28+6+%2B-+sqrt%28+36+%2B+1728+%29%2F%28-2%29%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28+6+%2B-+sqrt%28+36+%2B+1728+%29%2F%28-2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28+6+%2B-+sqrt%28+1764+%29%2F%28-2%29%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28+6+%2B-+sqrt%28+1764+%29%2F%28-2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+%28+6+-++42+%29+%2F+%28-2%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28+6+-++42+%29+%2F+%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( use the minus square root to make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > positive )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+36%2F2+ ALIGN=MIDDLE  ALT=\"+n+=+36%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+18+ ALIGN=MIDDLE  ALT=\"+n+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Juma bought 18 oranges originally<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+=+%28+36%2Fn+-+.5+%29%2A%28+n+%2B+6+%29+ ALIGN=MIDDLE  ALT=\"+36+=+%28+36%2Fn+-+.5+%29%2A%28+n+%2B+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+=+%28+36%2F18+-+.5+%29%2A%28+18+%2B+6+%29+ ALIGN=MIDDLE  ALT=\"+36+=+%28+36%2F18+-+.5+%29%2A%28+18+%2B+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+=+%28+2+-+.5+%29%2A24+ ALIGN=MIDDLE  ALT=\"+36+=+%28+2+-+.5+%29%2A24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+=+1.5%2A24+ ALIGN=MIDDLE  ALT=\"+36+=+1.5%2A24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+36+=+36+ ALIGN=MIDDLE  ALT=\"+36+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "Here's the plot of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28n%29+=+-n%5E2+-+6n+%2B+432+ ALIGN=MIDDLE  ALT=\"+f%28n%29+=+-n%5E2+-+6n+%2B+432+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "to locate the roots<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-26%2C+26%2C+-20%2C+500%2C+-x%5E2+-+6x+%2B+432+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-26%2C+26%2C+-20%2C+500%2C+-x%5E2+-+6x+%2B+432+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks like a root at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n=18+ ALIGN=MIDDLE  ALT=\"+n=18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );