document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=241505>Question 241505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Compute the discriminant. Then determine the number and type of solutions for the given equation.<BR>\n" );
document.write( "4x²-2x+1=0<BR>\n" );
document.write( "What is the discriminant?\r<BR>\n" );
document.write( "\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 #176881 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=176881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Compute the discriminant. Then determine the number and type of solutions for the given equation.<BR>\n" );
document.write( "4x²-2x+1=0<BR>\n" );
document.write( "a = 4 ; b = -2 ; c = 1\r<BR>\n" );
document.write( "\n" );
document.write( "What is the discriminant? <BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "discriminant = b^2-4ac<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Your Problem:<BR>\n" );
document.write( "D = (-2)^2 - 4*4*1 = 4-16 = -12<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Since the discriminant is negative<BR>\n" );
document.write( "the quadratic has two complex number solutions.<BR>\n" );
document.write( "===================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );