document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30462>Question 30462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (m) Question: 3 sqrt 9x-4 =3 sqrt 2x+9\r<BR>\n" );
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document.write( "(A) -8/13<BR>\n" );
document.write( "(B) 13/7<BR>\n" );
document.write( "(C) 2<BR>\n" );
document.write( "(D) -7/13\r<BR>\n" );
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document.write( "Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17202 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=17202\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem may be as follows:<BR>\n" );
document.write( " [sqrt (9x-4)]^3 =[sqrt (2x+9)]^3  ----(1)<BR>\n" );
document.write( "This implies (9x-4) = (2x+9)<BR>\n" );
document.write( "(how? see the model below for you to learn and understand. <BR>\n" );
document.write( "You need not show those steps if the above problem <BR>\n" );
document.write( "is a 1 mark question!)<BR>\n" );
document.write( "9x-2x= 9+4<BR>\n" );
document.write( "7x= 13<BR>\n" );
document.write( "x = 13/7<BR>\n" );
document.write( "Answer: x = 13/7<BR>\n" );
document.write( "which is choice (B) 13/7\r<BR>\n" );
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document.write( "Note:Let us evolve a model out of this<BR>\n" );
document.write( "[sqrt(p)]^3 =[sqrt(q)]^3<BR>\n" );
document.write( "[(p)^(1/2)]^3= [(q)^(1/2)]^3<BR>\n" );
document.write( "[(p)^(3/2)]= [(q)^(3/2)]  (using [(a)^m]^n =[(a)^(mn) ----(*)] )<BR>\n" );
document.write( "Now raising both the sides to the power (2/3)<BR>\n" );
document.write( "[(p)^(3/2)]^(2/3)= [(q)^(3/2)]^(2/3)<BR>\n" );
document.write( "{(p)^[(3/2)X(3/2)]}= {(q)^[(3/2)X(3/2)]}<BR>\n" );
document.write( "[(p)^1]= [(q)^1] ((using (*) )<BR>\n" );
document.write( "That is   p = q<BR>\n" );
document.write( "Note: The above steps if we go through repeatedly then <BR>\n" );
document.write( "we will be in a position to just observe and conclude<BR>\n" );
document.write( " </SPAN>\n" );
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