document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1098764>Question 1098764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The inequality 0<2x^2+bx+5 has an infinite number of real solutions when.. <BR>\n" );
document.write( "1) -2&#8730;10 < b < 2&#8730;10<BR>\n" );
document.write( "2) b<-2&#8730;10 or b> 2&#8730;10<BR>\n" );
document.write( "3) -2&#8730;10 &#8804; b &#8804; 2&#8730;10<BR>\n" );
document.write( "4) b&#8804; -2&#8730;10 or b&#8804; 2&#8730;10\r<BR>\n" );
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document.write( "Would it work if I used the discriminant formula to solve this? And how would I solve it? I would greatly appreciate an answer! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #713144 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39631)</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=713144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The quadratic function would be greater than zero for all x.  This means the discriminant must be negative.  That should help you.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Bbx%2B5%3E0 ALIGN=MIDDLE  ALT=\"2x%5E2%2Bbx%2B5%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Discriminant is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4%2A2%2A5 ALIGN=MIDDLE  ALT=\"b%5E2-4%2A2%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-40 ALIGN=MIDDLE  ALT=\"b%5E2-40\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Bbx%2B5 ALIGN=MIDDLE  ALT=\"2x%5E2%2Bbx%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a parabola having a minimum vertex and the parabola opens upward.    If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-40%3E0 ALIGN=MIDDLE  ALT=\"b%5E2-40%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the parabola will cross the x-axis in two places and there will be some points below the x-axis.  If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-40%3C0 ALIGN=MIDDLE  ALT=\"b%5E2-40%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the parabola will not touch nor cross the x-axis anywhere, and all points of the parabola will be greater than 0  (or all points will be above the x-axis). </SPAN>\n" );
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