document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1051694>Question 1051694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "   \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Evaluate the discriminant for the following equation. Then use it to determine the number of distinct&#8203; solutions, and tell whether they are&#8203; rational, irrational, or nonreal complex numbers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4 x squared plus 5 x plus 1 equals 04x2+5x+1=0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The discriminant is <BR>\n" );
document.write( "nothingm. &#8203;(Simplify your&#8203; answer.)<BR>\n" );
document.write( "Determine the number of distinct&#8203; solutions, and tell whether they are&#8203; rational, irrational, or nonreal complex numbers. Choose the correct answer below.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\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 #667145 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</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=667145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4 x squared plus 5 x plus 1 equals 04x2+5x+1=0<BR>\n" );
document.write( "-\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B5x%2B1=0 ALIGN=MIDDLE  ALT=\"4x%5E2%2B5x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "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" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Not just the sign you are using to decide.  Also the rationality or irrationality is part of your determination.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "YOU can do this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28b%5E2-4ac%29 ALIGN=MIDDLE  ALT=\"sqrt%28b%5E2-4ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > positive WHOLE number, then two Real RATIONAL solutions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac%3C0 ALIGN=MIDDLE  ALT=\"b%5E2-4ac%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > means nonreal complex solutions, two of them.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28b%5E2-4ac%29%3E0 ALIGN=MIDDLE  ALT=\"sqrt%28b%5E2-4ac%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > but irrational, then two irrational solutions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "FORM your discriminant! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );