document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937927>Question 937927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine nature of solutions of the equation.\r<BR>\n" );
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document.write( "x^2+3x+5=0\r<BR>\n" );
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document.write( "a) two imaginary-number solutions<BR>\n" );
document.write( "b) one real-number rational solution<BR>\n" );
document.write( "c) two real-number irrational solutions<BR>\n" );
document.write( "d) two real-number rational solutions </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #571343 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=571343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the meaning of the discriminant.\r<BR>\n" );
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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;\" > has a 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" );
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document.write( "If discriminant is___________________Solutions are.<BR>\n" );
document.write( "POSITIVE_____________________________Two Real<BR>\n" );
document.write( "ZERO_________________________________One Real<BR>\n" );
document.write( "NEGATIVE_____________________________Two Complex\r<BR>\n" );
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document.write( "Just form your equation's discriminant, compute it,  and interpret its meaning.\r<BR>\n" );
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document.write( "---\r<BR>\n" );
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document.write( "Your discriminant is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-11 ALIGN=MIDDLE  ALT=\"-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is NEGATIVE, and the absolute value is <b>not</b> a square; which means the equation has two complex irrational solutions. </SPAN>\n" );
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