document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995840>Question 995840</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Explain why x^2+bx-c=0 must have one positive real and one negative real solution when b and c are real numbers and c>0 .\r<BR>\n" );
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document.write( "For what values of b will x^2+bx+1=0have real solutions?  Clearly explain the reasoning you followed to reach your conclusion </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614506 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=614506\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first part is wrong.  That cannot be justified.  An example was already given a few minutes ago.\r<BR>\n" );
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document.write( "Use the discriminant for the second question.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bbx%2B1=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bbx%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- given equation;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4%2A1%2A1 ALIGN=MIDDLE  ALT=\"b%5E2-4%2A1%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- the discriminant, using a=1 and c=1;<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4%3E=0 ALIGN=MIDDLE  ALT=\"b%5E2-4%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > --- discriminant must be non-zero for the original quadratic equation to have real solutions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=4 ALIGN=MIDDLE  ALT=\"b%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=0%2B-+2%29 ALIGN=MIDDLE  ALT=\"highlight%28b=0%2B-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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