document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164917>Question 164917</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>Elementary and Intermediate</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 42.) Find b^2 – 4ac and the number of real solutions to each equation.\r<BR>\n" );
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document.write( "9m^2+16=24m<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 #121576 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=121576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find b^2 – 4ac and the number of real solutions to each equation.<BR>\n" );
document.write( "9m^2+16=24m<BR>\n" );
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document.write( "First, convert your equation into the form of:<BR>\n" );
document.write( "am^2 + bm + c = 0<BR>\n" );
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document.write( "Starting with:<BR>\n" );
document.write( "9m^2+16=24m<BR>\n" );
document.write( "subtracting 24m from both sides:<BR>\n" );
document.write( "9m^2-24m+16=0<BR>\n" );
document.write( "we \"see\" that:<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( "b^2 – 4ac <BR>\n" );
document.write( "is called the discriminant<BR>\n" );
document.write( "if POSITIVE, then TWO real solutions<BR>\n" );
document.write( "if ZERO, then ONE real solutions<BR>\n" );
document.write( "if NEGATIVE, then TWO complex solutions<BR>\n" );
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document.write( "b^2 – 4ac <BR>\n" );
document.write( "(-24)^2 – 4(9)(16)<BR>\n" );
document.write( "576 - 576 = 0<BR>\n" );
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document.write( "Since discriminate is ZERO -- <BR>\n" );
document.write( "ONE real solution<BR>\n" );
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