document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171658>Question 171658</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given the equation Kx^2+(k+3)x+3-4k=0 find the value of k given that one root is 2   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126792 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=126792\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=Kx%5E2%2B%28k%2B3%29x%2B3-4k ALIGN=MIDDLE  ALT=\"f%28x%29=Kx%5E2%2B%28k%2B3%29x%2B3-4k\"   DISABLED_style= \"max-width:90%; height:auto;\" >, \r<BR>\n" );
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document.write( "If one root is 2, then this means that <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;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=0 ALIGN=MIDDLE  ALT=\"f%282%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=f%28x%29=Kx%5E2%2B%28k%2B3%29x%2B3-4k ALIGN=MIDDLE  ALT=\"f%28x%29=Kx%5E2%2B%28k%2B3%29x%2B3-4k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=K%282%29%5E2%2B%28k%2B3%29%282%29%2B3-4k ALIGN=MIDDLE  ALT=\"f%282%29=K%282%29%5E2%2B%28k%2B3%29%282%29%2B3-4k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <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;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=4k%2B%28k%2B3%29%282%29%2B3-4k ALIGN=MIDDLE  ALT=\"f%282%29=4k%2B%28k%2B3%29%282%29%2B3-4k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square 2 to get 4.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=4k%2B2k%2B6%2B3-4k ALIGN=MIDDLE  ALT=\"f%282%29=4k%2B2k%2B6%2B3-4k\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4k%2B2k%2B6%2B3-4k=0 ALIGN=MIDDLE  ALT=\"4k%2B2k%2B6%2B3-4k=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set the right side equal to zero.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2k%2B9=0 ALIGN=MIDDLE  ALT=\"2k%2B9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2k=0-9 ALIGN=MIDDLE  ALT=\"2k=0-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2k=-9 ALIGN=MIDDLE  ALT=\"2k=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=%28-9%29%2F%282%29 ALIGN=MIDDLE  ALT=\"k=%28-9%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-9%2F2 ALIGN=MIDDLE  ALT=\"k=-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which in decimal form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-4.5 ALIGN=MIDDLE  ALT=\"k=-4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  </SPAN>\n" );
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