document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515574>Question 515574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need assistance with a problem that I am having trouble with.\r<BR>\n" );
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document.write( "Determine the nature of the solutions of the equation.\r<BR>\n" );
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document.write( "y^2 = 4/5y + 4/7\r<BR>\n" );
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document.write( "y^2 - 4/5y -4/7 = 0\r<BR>\n" );
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document.write( "a = 1<BR>\n" );
document.write( "b = -4/5y<BR>\n" );
document.write( "c = -4/7\r<BR>\n" );
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document.write( "I am completely lost as to how to work this problem.  \r<BR>\n" );
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document.write( "Thank you.\r<BR>\n" );
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document.write( "Sincerely,\r<BR>\n" );
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document.write( "Christine Fitzgerald </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344071 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=344071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the nature of the solutions of the equation. <BR>\n" );
document.write( "y^2 = 4/5y + 4/7 <BR>\n" );
document.write( "y^2 - 4/5y -4/7 = 0 <BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "b = -4/5<BR>\n" );
document.write( "c = -4/7 <BR>\n" );
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document.write( "Find the determinant, Det = b^2 - 4ac<BR>\n" );
document.write( "Get rid of fractions first, multiply by 35<BR>\n" );
document.write( "y^2 - 4/5y -4/7 = 0<BR>\n" );
document.write( "35y^2 - 28y - 20 = 0<BR>\n" );
document.write( "Det = 28^2 - 4*35*(-20) = 784 + 2800 = 3584<BR>\n" );
document.write( "Det > 0 --> 2 real solutions<BR>\n" );
document.write( " </SPAN>\n" );
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