document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171776>Question 171776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find b2 – 4ac and the number of real solutions to each equation.\r<BR>\n" );
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document.write( "42.  9m2 + 16 = 24m\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126887 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=126887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 9m^2 + 16 = 24m<BR>\n" );
document.write( "First, move everything to one side of the equation:<BR>\n" );
document.write( "9m^2 - 24m + 16 = 0<BR>\n" );
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document.write( "The coefficients are then:<BR>\n" );
document.write( "a = 9<BR>\n" );
document.write( "b = -24<BR>\n" );
document.write( "c = 16<BR>\n" );
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document.write( "The \"discriminant\" is then:<BR>\n" );
document.write( "b^2 – 4ac<BR>\n" );
document.write( "stuffing in our values:<BR>\n" );
document.write( "(-24)^2 – 4(9)(16)<BR>\n" );
document.write( "576 - 576<BR>\n" );
document.write( "0<BR>\n" );
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document.write( "Since the discriminant = 0<BR>\n" );
document.write( "there is only \"one real solution\".<BR>\n" );
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