document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012117>Question 1012117</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this qeuation : 3x²-11x+6 &#8804; 0  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627972 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=627972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x^2 - 11x + 6 <= 0\r<BR>\n" );
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document.write( "set the equation equal to 0 to get:\r<BR>\n" );
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document.write( "3x^2 - 11x + 6 = 0\r<BR>\n" );
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document.write( "factor to get (3x-2) * (x-3) = 0\r<BR>\n" );
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document.write( "set each of the factors equal to 0 and solve for x to get x = 2/3 and x = 3.\r<BR>\n" );
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document.write( "you have 2 checkpoints and 3 intervals to check.\r<BR>\n" );
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document.write( "first interval is x < 2/3.<BR>\n" );
document.write( "second interval is x > 2/3 and < 3.<BR>\n" );
document.write( "third interval is x > 3\r<BR>\n" );
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document.write( "just pick values in those intervals and determine whether they are positive or negative.\r<BR>\n" );
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document.write( "you will find that y is positive when x < 2/3 and y is negative when x < 2/3 and < 3 and y is positive when x > 3.\r<BR>\n" );
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document.write( "the original equation says that 3x^2 - 11x + 6 <= 0.\r<BR>\n" );
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document.write( "that occurs in the interval where x >= 2/3 and <= 3.\r<BR>\n" );
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document.write( "your solution is 2/3 <= x <= 3.\r<BR>\n" );
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document.write( "here's a graph of the equation.\r<BR>\n" );
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document.write( "you can see the interval where the equation is less than or equal to 0.\r<BR>\n" );
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document.write( "it is between x = 2/3 and x = 3, including x = 2/3 and x = 3.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/010302.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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