document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216553>Question 216553</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A line is described by the equation y = 3 . A parabola is given by the equation Y = x^2 –6x +c  What value(s) of c would result in this system of equations having  one solution? What value(s) of c would result in two solutions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163505 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=163505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  A line is described by the equation y = 3. A parabola is given by the equation Y = x^2 –6x +c What value(s) of c would result in this system of equations having one solution? What value(s) of c would result in two solutions?<BR>\n" );
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document.write( "The x value of the vertex is -b/2a = 3<BR>\n" );
document.write( "To have one value, the y of the vertex must be +3 (tangent to the line y=3).<BR>\n" );
document.write( "3 = 9 - 18 + c<BR>\n" );
document.write( "c = 12 for one value.<BR>\n" );
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document.write( "For any c<12 there will be 2 crossings of the line y = 3, --> 2 solutions. </SPAN>\n" );
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