document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176177>Question 176177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the nature of the solutions of the equation<BR>\n" );
document.write( "x^2-x+7=0<BR>\n" );
document.write( "One real?<BR>\n" );
document.write( "Two non-real?<BR>\n" );
document.write( "Two real?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131272 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=131272\">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=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > general form<BR>\n" );
document.write( ":<BR>\n" );
document.write( "D=Discriminant is <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" );
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document.write( "if D>0 then the equation has 2 real solutions<BR>\n" );
document.write( "if D<0 then the equation has 1 real solution.<BR>\n" );
document.write( "if D=0 then the equation has 2 conjugate imaginary solutions. <BR>\n" );
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document.write( "(-1)2-4(1)(7)=-30<BR>\n" );
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document.write( "so this has 2 conjugate imaginary solutions </SPAN>\n" );
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