document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147444>Question 147444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the equation  4x^2 – 4x + 5 = 0.\r<BR>\n" );
document.write( "\n" );
document.write( "(i) Compute the discriminant, b2 – 4ac, and then state whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions exist.\r<BR>\n" );
document.write( "\n" );
document.write( "(ii) Use the quadratic formula to find the exact solutions of the equation. \r<BR>\n" );
document.write( "<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 #107813 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=107813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^2 – 4x + 5 = 0<BR>\n" );
document.write( "4x^2 + (-4)x + 5 = 0<BR>\n" );
document.write( "ax^2 + bx + c = 0<BR>\n" );
document.write( "a = 4<BR>\n" );
document.write( "b = -4<BR>\n" );
document.write( "c = 5<BR>\n" );
document.write( "(i) Compute the discriminant, b2 – 4ac, and then state whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions exist.<BR>\n" );
document.write( "disc. > 0 ~ two real<BR>\n" );
document.write( "disc. = 0 ~ one real<BR>\n" );
document.write( "disc. < 0 ~ two imaginary<BR>\n" );
document.write( "(ii) Use the quadratic formula to find the exact solutions of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4ac+%29+%29+%2F+%28+2a+%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4ac+%29+%29+%2F+%28+2a+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );