document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=490240>Question 490240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the nature of the solutions of the equation<BR>\n" );
document.write( "y^2=3/4y+3/2\r<BR>\n" );
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document.write( "Fractions mess me up when I am figuring out equations.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333969 by </B><A HREF=/tutors/aboutme.mpl?userid=John10><B>John10(297)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=John10><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=John10><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=333969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The least common denominator is 4. Thus we need to multiply both sides by 4<BR>\n" );
document.write( "4y^2 = 3y + 6<BR>\n" );
document.write( "4y^2 - 3y - 6 = 0<BR>\n" );
document.write( "Discriminant: D = b^2 - 4ac = (-3)^2 - 4(4)(-6) = 9 + 96 = 105<BR>\n" );
document.write( "Since the discriminant is POSITIVE, the equation has TWO REAL SOLUTIONS.<BR>\n" );
document.write( "John10:) </SPAN>\n" );
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