document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31046>Question 31046</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0028251784/algebrahomeworkh>Algebra 2, Student Edition</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the square root of (3x+10) = 1 + the square root of (2x+5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17818 by </B><A HREF=/tutors/aboutme.mpl?userid=ikdeep><B>ikdeep(226)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikdeep><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=ikdeep><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> My earlier solution is incorrect ,,kindly study this one ,,,\r<BR>\n" );
document.write( "\n" );
document.write( "the square root of (3x+10) = 1 + the square root of (2x+5)\r<BR>\n" );
document.write( "\n" );
document.write( "on squaring both sdes we get.......\r<BR>\n" );
document.write( "\n" );
document.write( "(3x+10) = [1 + the square root of (2x+5)]^2<BR>\n" );
document.write( "O<BR>\n" );
document.write( "n RHS we apply fromula (a+b)^2 = (a)^2 + (b)^2 + 2(a)(b)<BR>\n" );
document.write( "here a = 1 and   b = the square root of (2x+5)..<BR>\n" );
document.write( "on applying formala we get ...\r<BR>\n" );
document.write( "\n" );
document.write( "(3x+10)=(1)^2 + [the square root of (2x+5)]^2 + 2(1)(the square root of (2x+5)\r<BR>\n" );
document.write( "\n" );
document.write( "on solving RHS we get...\r<BR>\n" );
document.write( "\n" );
document.write( "3x+10 = 1 + 2x + 5 + 2 (1)(the square root of (2x+5)\r<BR>\n" );
document.write( "\n" );
document.write( "3x+10 = 2x + 6 + 2 (1)(the square root of (2x+5)\r<BR>\n" );
document.write( "\n" );
document.write( "taking together the like variables we get.....\r<BR>\n" );
document.write( "\n" );
document.write( "3x - 2x + 10 - 6  = 2(the square root of (2x+5)\r<BR>\n" );
document.write( "\n" );
document.write( "x + 4 = 2(the square root of (2x+5)\r<BR>\n" );
document.write( "\n" );
document.write( "again squaring both sides we get\r<BR>\n" );
document.write( "\n" );
document.write( "(x + 4)^2 = [2(the square root of (2x+5)]^2\r<BR>\n" );
document.write( "\n" );
document.write( "now we apply the earlier fromula on LHS i.e<BR>\n" );
document.write( "(a+b)^2 = (a)^2 + (b)^2 + 2(a)(b)<BR>\n" );
document.write( "here a = x and b = 4<BR>\n" );
document.write( "on applying formula we get...\r<BR>\n" );
document.write( "\n" );
document.write( "(x)^2 + (4)^2 + 2(x)(4) = [2(the square root of (2x+5)]^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^2 + 16 + 8x = 4(2x+5)\r<BR>\n" );
document.write( "\n" );
document.write( "x^2 + 16 + 8x = 8x+ 20\r<BR>\n" );
document.write( "\n" );
document.write( "subtract 8x from both sides ,,we get\r<BR>\n" );
document.write( "\n" );
document.write( "x^2 + 16  =  20\r<BR>\n" );
document.write( "\n" );
document.write( "subtract 16 from both sides ,,we get\r<BR>\n" );
document.write( "\n" );
document.write( "x^2 = 4 \r<BR>\n" );
document.write( "\n" );
document.write( "taking square root of both sides we get..\r<BR>\n" );
document.write( "\n" );
document.write( "either x = 2  0r x = -2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now if you want to  verify you answer ,,,you can put the values of x in the given equation and if you get LHS=RHS,,,this means that you answer is correct..\r<BR>\n" );
document.write( "\n" );
document.write( "hope this will help you \r<BR>\n" );
document.write( "\n" );
document.write( "Please feel free to revert back for any further queries.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );