document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998656>Question 998656</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the value of k so that the equation 2x2 + 4x  - 17 = kx has roots numerically equal but opposite in sign? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616419 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=616419\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B4x-17=kx ALIGN=MIDDLE  ALT=\"2x%5E2%2B4x-17=kx\"   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%2B4x-17-kx=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B4x-17-kx=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B4x-kx-17=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B4x-kx-17=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B%284-k%29x-17=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B%284-k%29x-17=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=%28%28k-4%29%2B-+sqrt%28%284-k%29%5E2-4%2A2%2A%28-17%29%29%29%2F%282%2A2%29 ALIGN=MIDDLE  ALT=\"x=%28%28k-4%29%2B-+sqrt%28%284-k%29%5E2-4%2A2%2A%28-17%29%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=%28k-4%2B-+sqrt%2814-8k%2Bk%5E2%2B136%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28k-4%2B-+sqrt%2814-8k%2Bk%5E2%2B136%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=%28k-4%2B-+sqrt%28k%5E2-8k%2B150%29%29%2F4 ALIGN=MIDDLE  ALT=\"x=%28k-4%2B-+sqrt%28k%5E2-8k%2B150%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----Is that discriminant a perfect square?<BR>\n" );
document.write( "2*75,3*50,5*30,6*25,10*15, does not seem to be; this will actually not be important.\r<BR>\n" );
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document.write( "The requirement is that the roots, the possible x values, must be equal in size but opposite<BR>\n" );
document.write( "in their signs.  That is, they are additive inverses of each other.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28k-4-sqrt%28k%5E2-8k%2B150%29%29%2F4%2B%28k-4%2Bsqrt%28k%5E2-8k%2B150%29%29%2F4=0 ALIGN=MIDDLE  ALT=\"%28k-4-sqrt%28k%5E2-8k%2B150%29%29%2F4%2B%28k-4%2Bsqrt%28k%5E2-8k%2B150%29%29%2F4=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=%28k-4-sqrt%28discrim%29%2Bk-4%2Bsqrt%28discrim%29%29%2F4=0 ALIGN=MIDDLE  ALT=\"%28k-4-sqrt%28discrim%29%2Bk-4%2Bsqrt%28discrim%29%29%2F4=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=%282k-8%29%2F4=0 ALIGN=MIDDLE  ALT=\"%282k-8%29%2F4=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=2k-8=0 ALIGN=MIDDLE  ALT=\"2k-8=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=k-4=0 ALIGN=MIDDLE  ALT=\"k-4=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=highlight%28k=4%29 ALIGN=MIDDLE  ALT=\"highlight%28k=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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