document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144722>Question 144722</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the following equations have a solution or not? Justify your answer. <BR>\n" );
document.write( "4/3x2 - 2x + 3/4 = 0 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105460 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=105460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> IT HAS COMPLEX RUTES.<BR>\n" );
document.write( "USING THE QUADRATIC EQUATION <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;\" > WE GET:<BR>\n" );
document.write( "4/3x^2-2x+3/4=0 <BR>\n" );
document.write( "x=(2+-sqrt[-2^2-4*4/3*3/4])/2*4/3<BR>\n" );
document.write( "x=(2+-sqrt4-4)/8/3<BR>\n" );
document.write( "x=(2+-0)/8/3<BR>\n" );
document.write( "x=2*3/8<BR>\n" );
document.write( "x=6/8=3/4 answer.<BR>\n" );
document.write( "proof:<BR>\n" );
document.write( "4/3(3/4)^2-2*3/4+3/4=0<BR>\n" );
document.write( "4/3*9/16-6/4+3/4=0<BR>\n" );
document.write( "36/48-6/4+3/4=0<BR>\n" );
document.write( "3/4-6/4+3/4=0<BR>\n" );
document.write( "0=0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );