document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83042>Question 83042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The demand and supply equations for a certain item are given by:<BR>\n" );
document.write( "D=-5p+40<BR>\n" );
document.write( "S=-p^2+30p-8\r<BR>\n" );
document.write( "\n" );
document.write( "Find the equilibrium price.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59591 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=59591\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you can supply the demand, you have reached an equil amount.<BR>\n" );
document.write( "D = S<BR>\n" );
document.write( "-5p + 40 = -p^2 + 30p - 8<BR>\n" );
document.write( "p^2 - 35p + 48 = 0<BR>\n" );
document.write( "Solve as you would like from here:<BR>\n" );
document.write( "p^2 - 35p = -48<BR>\n" );
document.write( "(p - 17.5)^2 = 258.25<BR>\n" );
document.write( "p = 17.5 +- sqrt(258.25)<BR>\n" );
document.write( "when p is about 33.6 or 1.4 </SPAN>\n" );
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