document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1016223>Question 1016223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for w.\r<BR>\n" );
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document.write( "3w-7=square root (8w-7)&#8203;\r<BR>\n" );
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document.write( "Thx for your help^^ having trouble solving square root equations<BR>\n" );
document.write( "&#8203;&#8203; </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #632658 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=632658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3w-7=sqrt (8w-7)<BR>\n" );
document.write( "square both sides to remove the radical<BR>\n" );
document.write( "(3w-7)^2=8w-7=9w^2-42w+49<BR>\n" );
document.write( "9w^2-50w+56=0<BR>\n" );
document.write( "(9w-14)(w-4)=0<BR>\n" );
document.write( "w=4. w=14/9<BR>\n" );
document.write( "Each of these has to be checked in the original equation, for squaring both sides may lead to answers that don't work in the original equation.<BR>\n" );
document.write( "w=4<BR>\n" );
document.write( "5=sqrt (25).  That works.<BR>\n" );
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document.write( "w=14/9<BR>\n" );
document.write( "(42/9)-49/9=-7/9, and a square root of anything can't be negative with real numbers.<BR>\n" );
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document.write( "w=4 is the only solution.<BR>\n" );
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