document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196155>Question 196155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the values of m such that 4x2 - 4mx + 4m - 3 is perfect square trinomial?\r<BR>\n" );
document.write( "\n" );
document.write( "a.) -1, -3<BR>\n" );
document.write( "b.) 1,-3 <BR>\n" );
document.write( "c.) 1,3<BR>\n" );
document.write( "d. -1, 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147078 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=147078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^2 - 4mx + (4m -3)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "4 ( x^2 -mx +(m-3/4) )<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Remember  perfect  square  is  (1/2 * 2nd  coefficient)^2 =  (3rd  coefficient)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "or,,,,(-m/2)^2 = m-.75<BR>\n" );
document.write( ".<BR>\n" );
document.write( "m^2 /4 =m-.75<BR>\n" );
document.write( ".<BR>\n" );
document.write( "mult  by  4<BR>\n" );
document.write( ".<BR>\n" );
document.write( "m^2 = 4m -3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "m^2 -4m +3 =0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "( m-3)(m-1) =0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "m-3 =0,,,,m=3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "m-1 =0,,, m=1<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Therefore  answer  (C)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Checking<BR>\n" );
document.write( ".<BR>\n" );
document.write( "m=1,   4x^2 -4(1)x +(4(1)-3) <BR>\n" );
document.write( "4x^2 -4x +1<BR>\n" );
document.write( "4(x^2 -x +1/4)<BR>\n" );
document.write( "4( x-1/2) (x-1/2)<BR>\n" );
document.write( "4(x-1/2)^2,,,,,,ok<BR>\n" );
document.write( ".<BR>\n" );
document.write( "m=3,,, 4x^2 -4(3)x +(4 (3) -3)<BR>\n" );
document.write( "4x^2 -12x +9<BR>\n" );
document.write( "4 ( x^2 -3x +9/4)<BR>\n" );
document.write( "4( x-3/2)(x-3/2)<BR>\n" );
document.write( "4 (x-3/2)^2,,,,,ok </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );