document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142917>Question 1142917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a^3b=abc=180  find  the  value of  c? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763662 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=763662\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3b+=+abc ALIGN=MIDDLE  ALT=\"a%5E3b+=+abc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E3b%29%2F%28ab%29+=+c ALIGN=MIDDLE  ALT=\"%28a%5E3b%29%2F%28ab%29+=+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2+=+c ALIGN=MIDDLE  ALT=\"a%5E2+=+c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "There is not enough information to get a numerical value for c; we can only determine that c = a^2.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3b+=+180 ALIGN=MIDDLE  ALT=\"a%5E3b+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+180%2Fa%5E3 ALIGN=MIDDLE  ALT=\"b+=+180%2Fa%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Thus we have a parametric representation of the infinite set of solutions to the problem:<br><BR>\n" );
document.write( "(a,b,c) = (t, 180/t^3, t^2)<br><BR>\n" );
document.write( "e.g.,<BR>\n" );
document.write( "(1,180,1)<BR>\n" );
document.write( "(2,45/2,4)<BR>\n" );
document.write( "(3,20/3,9)<BR>\n" );
document.write( "etc... </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );