document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=941422>Question 941422</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2. Calculate the discriminant to determine the number of real roots.\r<BR>\n" );
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document.write( "y = x^2 + 3x + 9\r<BR>\n" );
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document.write( "How many real roots does the equation have? (Points : 5)<BR>\n" );
document.write( "A. One real root<BR>\n" );
document.write( "B. Two real roots<BR>\n" );
document.write( "C. No real roots<BR>\n" );
document.write( "D. No solution to the equation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #573843 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=573843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+%2B+3x+%2B+9 ALIGN=MIDDLE  ALT=\"y+=+x%5E2+%2B+3x+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>In this case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3 ALIGN=MIDDLE  ALT=\"b=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=9 ALIGN=MIDDLE  ALT=\"c=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The discriminant is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac+=3%5E2-4%2A3%2A9=9-108=-99 ALIGN=MIDDLE  ALT=\"b%5E2-4ac+=3%5E2-4%2A3%2A9=9-108=-99\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
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document.write( "If the value is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac+%3E0 ALIGN=MIDDLE  ALT=\"b%5E2-4ac+%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and a Perfect Square there are Two Real Rational Solutions\r<BR>\n" );
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document.write( "If the value is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac+%3E0 ALIGN=MIDDLE  ALT=\"b%5E2-4ac+%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and is not a Perfect Square there are Two Real Irrational Solutions\r<BR>\n" );
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document.write( "If the value is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=0 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > there is One Real Solution\r<BR>\n" );
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document.write( "If the value is <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;\" > there are No Real Solutions, there are Two Imaginary Solutions\r<BR>\n" );
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document.write( "in your case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=-99 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=-99\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is < then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >;\r<BR>\n" );
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document.write( "so, answer is C. No real roots\r<BR>\n" );
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document.write( " </SPAN>\n" );
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