document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121605>Question 121605</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 = –p2 + 30p – 8<BR>\n" );
document.write( "Find the equilibrium price.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89291 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><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=89291\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> [y=-5x+40] (red line) & [y=-x^2+30x-8] (green line)<BR>\n" );
document.write( "-5P+40=-P^2+30P-8<BR>\n" );
document.write( "P^2-5P-30P+40+8=0<BR>\n" );
document.write( "P^2-35P+48=0<BR>\n" );
document.write( "USING THE QUADRATIC EQUATION WE GET:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%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( "P=(35+-SQRT[-35^2-4*1*48])/2*1<BR>\n" );
document.write( "P=(35+-SQRT[1225-192])/2<BR>\n" );
document.write( "P=(35+-SQRT1033])/2<BR>\n" );
document.write( "P=(35+-32.14)/2<BR>\n" );
document.write( "P=(35+32.14)/2<BR>\n" );
document.write( "P=67.14/2<BR>\n" );
document.write( "P=33.57 ANSWER.<BR>\n" );
document.write( "P=(35-32.14)/2<BR>\n" );
document.write( "P=2.86/2<BR>\n" );
document.write( "P=1.43 ANSWER.<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "A GRAPHIC SOLUTION IS:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C500%2C+-60%2C+50%2C+-50%2C+240%2C+y+=+-5x+%2B40+%2C+y+=+-x%5E2+%2B30x+-8%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C500%2C+-60%2C+50%2C+-50%2C+240%2C+y+=+-5x+%2B40+%2C+y+=+-x%5E2+%2B30x+-8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 500x500 pixels, x from -60 to 50, y from -50 to 240, of TWO functions y = -5x +40 and  y = -x^2 +30x -8). \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );