document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980037>Question 980037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Without solving, determine the character of the solutions of the equation in the complex number system.\r<BR>\n" );
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document.write( "x2 + 5x + 8 = 0<BR>\n" );
document.write( "    a. a repeated real solution<BR>\n" );
document.write( "    b. two unequal real solutions<BR>\n" );
document.write( "    c. two complex solutions that are conjugates of each other\r<BR>\n" );
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document.write( "I picked b. Please advise if I am correct or no.<BR>\n" );
document.write( "Thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601237 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601237\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Calculate the discriminant of the quadratic polynomial.\r<BR>\n" );
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document.write( "The discriminant is &nbsp;<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;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2+-+4%2A1%2A8 ALIGN=MIDDLE  ALT=\"5%5E2+-+4%2A1%2A8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 25 - 32 = -7.\r<BR>\n" );
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document.write( "Since the discriminant is negative, the equation &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+5x+%2B+8 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+5x+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >&nbsp; has two complex roots. &nbsp;There are no real roots.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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