document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=910555>Question 910555</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Find the equation whose roots are each two more than the roots of x^3-4x^2+3x+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #552547 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=552547\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first find roots:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-4x%5E2%2B3x%2B2=0 ALIGN=MIDDLE  ALT=\"x%5E3-4x%5E2%2B3x%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%5E2 ALIGN=MIDDLE  ALT=\"-4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2-2x%5E2 ALIGN=MIDDLE  ALT=\"-2x%5E2-2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x ALIGN=MIDDLE  ALT=\"3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-x ALIGN=MIDDLE  ALT=\"4x-x\"   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%5E3-2x%5E2-2x%5E2%2B4x-x%2B2=0 ALIGN=MIDDLE  ALT=\"x%5E3-2x%5E2-2x%5E2%2B4x-x%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3-2x%5E2%29-%282x%5E2-4x%29-%28x-2%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E3-2x%5E2%29-%282x%5E2-4x%29-%28x-2%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=x%5E2%28x-2%29-2x%28x-2%29-%28x-2%29=0 ALIGN=MIDDLE  ALT=\"x%5E2%28x-2%29-2x%28x-2%29-%28x-2%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=%28x-2%29%28x%5E2-2x-1%29=0 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x%5E2-2x-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2=0 ALIGN=MIDDLE  ALT=\"x-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > first root\r<BR>\n" );
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document.write( "to find other two zeros solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x-1=0 ALIGN=MIDDLE  ALT=\"x%5E2-2x-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > using quadr. 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%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;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-2%29+%2B-+sqrt%28%28-2%29%5E2-4%2A1%2A%28-1%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-2%29+%2B-+sqrt%28%28-2%29%5E2-4%2A1%2A%28-1%29+%29%29%2F%282%2A1%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+=+%282+%2B-+sqrt%284%2B4+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B-+sqrt%284%2B4+%29%29%2F2+\"   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+=+%282+%2B-+sqrt%282%2A4+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B-+sqrt%282%2A4+%29%29%2F2+\"   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+=+%282+%2B-+2sqrt%282+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B-+2sqrt%282+%29%29%2F2+\"   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+=+%28cross%282%29+%2B-+cross%282%29sqrt%282+%29%29%2Fcross%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%28cross%282%29+%2B-+cross%282%29sqrt%282+%29%29%2Fcross%282%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+=+%281+%2B-+sqrt%282+%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%281+%2B-+sqrt%282+%29%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+=+%281+%2B-+1.41%29+ ALIGN=MIDDLE  ALT=\"x+=+%281+%2B-+1.41%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "second root: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1+%2B+1.41=2.41+ ALIGN=MIDDLE  ALT=\"x+=+1+%2B+1.41=2.41+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "third root: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1+-+1.41=-0.41+ ALIGN=MIDDLE  ALT=\"x+=+1+-+1.41=-0.41+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now make all two more:\r<BR>\n" );
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document.write( "first root <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > => two more will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=4 ALIGN=MIDDLE  ALT=\"x%5B1%5D=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "second root: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=2.41+ ALIGN=MIDDLE  ALT=\"x+=2.41+\"   DISABLED_style= \"max-width:90%; height:auto;\" > => two more will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=4.41+ ALIGN=MIDDLE  ALT=\"x%5B2%5D+=4.41+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "third root: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=-0.41+ ALIGN=MIDDLE  ALT=\"x+=-0.41+\"   DISABLED_style= \"max-width:90%; height:auto;\" > => two more will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D+=1.59+ ALIGN=MIDDLE  ALT=\"x%5B3%5D+=1.59+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find the equation using roots:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29+ ALIGN=MIDDLE  ALT=\"+%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%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=+%28x-4%29%28x-4.41%29%28x-1.59%29+ ALIGN=MIDDLE  ALT=\"+%28x-4%29%28x-4.41%29%28x-1.59%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiply all\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2-8.41x%2B17.64%29%28x-1.59%29+ ALIGN=MIDDLE  ALT=\"+%28x%5E2-8.41x%2B17.64%29%28x-1.59%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%5E3-10x%5E2%2B31.0119x-28.0476 ALIGN=MIDDLE  ALT=\"x%5E3-10x%5E2%2B31.0119x-28.0476\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );