document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146097>Question 146097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (x-6x sq root x)=0  Solve for x<BR>\n" );
document.write( "In response to an inquiry  -I was told to \"use the conjugate\". After yet another inquiry, I was given:<BR>\n" );
document.write( "(x-6x sq root x)(x+6x sq root x)=0(x+6x sq root x)<BR>\n" );
document.write( "= x squared -36xsquaredx and told to solve by factoring it out. I understand the conjugate part (kind of) but I've never seen -36xsquaredx! How do I factor this out?<BR>\n" );
document.write( "By the way, I know the answer is {0,1/36} and I still can't figure it out.\r<BR>\n" );
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document.write( "This is an online course. I have searched the book and cannot find a sample of this problem anywhere. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106647 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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/cgi-bin/show-face.mpl?user=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=106647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-6x*sqrt(x)=0<BR>\n" );
document.write( "-6x*sqrt(x)=-x<BR>\n" );
document.write( "6x*sqrt(x)=x<BR>\n" );
document.write( "36x^2*x=x^2 square each side<BR>\n" );
document.write( "36x^3=x^2<BR>\n" );
document.write( "36x^3-x^2=0<BR>\n" );
document.write( "x^2(36x-1)=0<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "36x=1<BR>\n" );
document.write( "x=1/36<BR>\n" );
document.write( ".<BR>\n" );
document.write( "You also can do it the way suggested:<BR>\n" );
document.write( "(x-6x*sqrt(x))*(x+6x*sqrt(x))=(x+6x*sqrt(x)*0 Multiply each side by x+6x*sqrt(x)<BR>\n" );
document.write( "x^2-36x^3=0 This is the same as (x-y)(x+y)=x^2-y^2. Let y=6x*sqrt(x)<BR>\n" );
document.write( "36x^3-x^2=0 Same as line 6 above.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );