document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147347>Question 147347</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find b^2 - 4ac and the number of real solutions:\r<BR>\n" );
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document.write( "4m^2 + 25 = 20m\r<BR>\n" );
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document.write( "The book shows an answer of (0, 1)\r<BR>\n" );
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document.write( "I have tried to work it by changing to a quadratic and using the discriminant to figure the answer, but I end up with m = 5/2\r<BR>\n" );
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document.write( "I would greatly appreciate if someone can tell me how to work this problem. I am completely stumped.  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107725 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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=107725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rewrite as\r<BR>\n" );
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document.write( "4m^2-20m+25=0\r<BR>\n" );
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document.write( "where<BR>\n" );
document.write( "am^2+bm+c=0  is the form we're interested in.\r<BR>\n" );
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document.write( "so<BR>\n" );
document.write( "b^2-4ac=(-20)^2-4*4*25=400-400=0\r<BR>\n" );
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document.write( "Since the discriminant is 0 we shall have 1 solution. You can see why this is so from the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If we eliminate the root due to a zero, the +/- is irrelevant and leaves only -b/2a  as the solution of x.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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