document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=335848>Question 335848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many real-number solutions does 0 = x^2 - 7x + 1 have?\r<BR>\n" );
document.write( "\n" );
document.write( "(A) None (B) One (C) Two (D) All real numbers<BR>\n" );
document.write( "(E) It is impossible to determine.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #240861 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=240861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Check the discriminant, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "If it is a positive number, then there are 2 real solutions.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-7%29%5E2-4%281%29%281%29=45 ALIGN=MIDDLE  ALT=\"%28-7%29%5E2-4%281%29%281%29=45\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "a positive number. Thus, it has two real solutions.\r<BR>\n" );
document.write( "\n" );
document.write( "They are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283sqrt%285%29%2B7%29%2F2 ALIGN=MIDDLE  ALT=\"%283sqrt%285%29%2B7%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3sqrt%285%29%2B7%29%2F2 ALIGN=MIDDLE  ALT=\"%28-3sqrt%285%29%2B7%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );