document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156555>Question 1156555</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the zeros of f. (Enter your answers as a comma-separated list.)<BR>\n" );
document.write( "f(x) = x^2(2e^6x) + 4xe^6x + 7e^6x + 4xe^6x\r<BR>\n" );
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document.write( "I cancelled out the e^6x and set the equation equal to zero and got 2x^2+8x+7 which I cannot factor so i used the quadratic formula and got -8+2(root 2)/4 and 8+2(root 2)/4 which is not correct either. HELP! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #779281 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=779281\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+x%5E2%282e%5E%286x%29%29+%2B+4xe%5E%286x%29+%2B+7e%5E%286x%29+%2B+4xe%5E%286x%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+x%5E2%282e%5E%286x%29%29+%2B+4xe%5E%286x%29+%2B+7e%5E%286x%29+%2B+4xe%5E%286x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=0 ALIGN=MIDDLE  ALT=\"f%28x%29+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Ae%5E%286x%29+%2B+4xe%5E%286x%29+%2B+7e%5E%286x%29+%2B+4xe%5E%286x%29=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2Ae%5E%286x%29+%2B+4xe%5E%286x%29+%2B+7e%5E%286x%29+%2B+4xe%5E%286x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2+%2B+4x+%2B+7+%2B+4x%29e%5E%286x%29=0 ALIGN=MIDDLE  ALT=\"%282x%5E2+%2B+4x+%2B+7+%2B+4x%29e%5E%286x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2+%2B+8x+%2B+7+%29e%5E%286x%29=0 ALIGN=MIDDLE  ALT=\"%282x%5E2+%2B+8x+%2B+7+%29e%5E%286x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%286x%29=0+ ALIGN=MIDDLE  ALT=\"e%5E%286x%29=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>no solutions exist \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+8x+%2B+7+=0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+8x+%2B+7+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......use quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-8%2B-sqrt%288%5E2-4%2A2%2A7%29%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"x=%28-8%2B-sqrt%288%5E2-4%2A2%2A7%29%29%2F%282%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-8%2B-sqrt%2864-56%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28-8%2B-sqrt%2864-56%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-8%2B-sqrt%288%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28-8%2B-sqrt%288%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-8%2B-sqrt%284%2A2%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28-8%2B-sqrt%284%2A2%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-8%2B-2sqrt%282%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28-8%2B-2sqrt%282%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-4%2B-sqrt%282%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-4%2B-sqrt%282%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-4%2Bsqrt%282%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-4%2Bsqrt%282%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2%2Bsqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"x=-2%2Bsqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...rationalize:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2F2=%28sqrt%282%29%2Asqrt%282%29%29%2F2sqrt%282%29=2%2F2sqrt%282%29=1%2Fsqrt%282%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+-2+%2B+1%2Fsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+-2+%2B+1%2Fsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-4-sqrt%282%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-4-sqrt%282%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...rationalize, same as above \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-2-1%2Fsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-2-1%2Fsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );