document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=561602>Question 561602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. so my math problem is:\r<BR>\n" );
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document.write( "Solve the equation graphically in the given interval. State each answer correct to two decimals.<BR>\n" );
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document.write( "x3 &#8722; 12x2 + 47x &#8722; 60 = 0;  [&#8722;1, 6].<BR>\n" );
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document.write( "I am not sure how to start this. Do I plug -1 and 6 into the equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364384 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=364384\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the equation graphically in the given interval. State each answer correct to two decimals.\r<BR>\n" );
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document.write( "x^3 &#8722; 12x^2 + 47x &#8722; 60 = 0; [&#8722;1, 6].<BR>\n" );
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document.write( "They mean you should make a table and graph the the points from x = -1 to +6<BR>\n" );
document.write( "For example<BR>\n" );
document.write( "x=-1, <BR>\n" );
document.write( "y = -1^3 - 12(-1^2) + 47(-1) - 60<BR>\n" );
document.write( "y = -1 - 12 - 47 - 60<BR>\n" );
document.write( "y = -120<BR>\n" );
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document.write( "x = +2<BR>\n" );
document.write( "y = 2^3 - 12(2^2) + 47(2) - 60<BR>\n" );
document.write( "y = 8 - 48 + 94 - 60<BR>\n" );
document.write( "y = -6<BR>\n" );
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document.write( "A table, you can complete the table in the same way<BR>\n" );
document.write( " x | y<BR>\n" );
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document.write( "-1 |-120<BR>\n" );
document.write( " 0 |<BR>\n" );
document.write( "+1 |<BR>\n" );
document.write( "+2 | -6<BR>\n" );
document.write( "+3 | <BR>\n" );
document.write( "+4 | 0<BR>\n" );
document.write( "+5 |<BR>\n" );
document.write( "+6 | +6<BR>\n" );
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document.write( "the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+10%2C+-150%2C+100%2C+x%5E3-12x%5E2%2B47x-60%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+10%2C+-150%2C+100%2C+x%5E3-12x%5E2%2B47x-60%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can see by the table and the graph, that x intercept, the solution: x=4<BR>\n" );
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document.write( "But when you complete the table, note that x=3, x=5, are also solutions, but not values in between these values, as you can see on the this expanded graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+10%2C+-10%2C+10%2C+x%5E3-12x%5E2%2B47x-60%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+10%2C+-10%2C+10%2C+x%5E3-12x%5E2%2B47x-60%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );