document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933103>Question 933103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for what values of k does the system of equations y=x^2-3x+5 , y=kx<BR>\n" );
document.write( "have only 1 solution? leave your answers in exact form.<BR>\n" );
document.write( "Please help me with this question or atleast give me a hint. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566607 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=566607\">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=kx=x%5E2-3x%2B5 ALIGN=MIDDLE  ALT=\"kx=x%5E2-3x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > by substitution.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x%2B5-kx=0 ALIGN=MIDDLE  ALT=\"x%5E2-3x%2B5-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=x%5E2-3x-kx%2B5=0 ALIGN=MIDDLE  ALT=\"x%5E2-3x-kx%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-%283%2Bk%29x%2B5=0 ALIGN=MIDDLE  ALT=\"x%5E2-%283%2Bk%29x%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The expression for that equation's discriminant is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Bk%29%5E2-4%2A1%2A5 ALIGN=MIDDLE  ALT=\"%283%2Bk%29%5E2-4%2A1%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Discriminant value of 0 means the quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-%283%2Bk%29x%2B5=0 ALIGN=MIDDLE  ALT=\"x%5E2-%283%2Bk%29x%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a perfect square on the left side member, the quadratic expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Bk%29%5E2-20=0 ALIGN=MIDDLE  ALT=\"%283%2Bk%29%5E2-20=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2%2B6k%2B9-20=0 ALIGN=MIDDLE  ALT=\"k%5E2%2B6k%2B9-20=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2%2B6k-11=0 ALIGN=MIDDLE  ALT=\"k%5E2%2B6k-11=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=%28-6%2B-+sqrt%2836%2B44%29%29%2F2 ALIGN=MIDDLE  ALT=\"k=%28-6%2B-+sqrt%2836%2B44%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=k=%28-6%2B-+sqrt%2880%29%29%2F2 ALIGN=MIDDLE  ALT=\"k=%28-6%2B-+sqrt%2880%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=k=%28-6%2B-+4%2Asqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"k=%28-6%2B-+4%2Asqrt%285%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=highlight%28k=-3%2B-+2sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"highlight%28k=-3%2B-+2sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, either of these two values for k so that the two given equations meet in exactly one point. </SPAN>\n" );
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