document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66523>Question 66523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I need to calculate the discriminant and state how many real solutions each equation has.\r<BR>\n" );
document.write( "\n" );
document.write( "4x^2-6x+4=0 <BR>\n" );
document.write( "and<BR>\n" );
document.write( "4x^2-4x+1=0\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks for youe help in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47174 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=47174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> calculate the discriminant and state how many real solutions each equation has. <BR>\n" );
document.write( "4x^2-6x+4=0<BR>\n" );
document.write( "a=4, b=-6, c=4<BR>\n" );
document.write( "Discriminant= b^2-4ac = 6^2-4(4)(4)=36-64<0<BR>\n" );
document.write( "Since it is <0 there are two complex roots, no Real Number solutions.<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "and<BR>\n" );
document.write( "4x^2-4x+1=0 <BR>\n" );
document.write( "a=4, b=-4, c=1<BR>\n" );
document.write( "Discriminant= b^2-4ac = 16-4*4*1=0<BR>\n" );
document.write( "Since it is 0 there is one Real Number solution with multiplicity two.<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );