document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41070>Question 41070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to find all the values of b in the following equation that will give one or more real number solutions.  Can you please help me with this?\r<BR>\n" );
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document.write( "3x^2 + bx - 3 = 0\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26485 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=26485\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have to find all the values of b in the following equation that will give one or more real number solutions.  Can you please help me with this?\r<BR>\n" );
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document.write( "3x^2 + bx - 3 = 0<BR>\n" );
document.write( "For that to happen the discriminant must be greater than<BR>\n" );
document.write( "or equal to zero.<BR>\n" );
document.write( "Discriminant = b^2-4*3*(-3)<BR>\n" );
document.write( "b^2+36>=0<BR>\n" );
document.write( "b^2>=-36<BR>\n" );
document.write( "This is true for any Real Number value of \"b\".<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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