document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164957>Question 164957</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>Elementary and Intermediate</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 32.)Solve each equation and check for extraneous solutions.\r<BR>\n" );
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document.write( "(3sqrt(w+1=6)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121665 by </B><A HREF=/tutors/aboutme.mpl?userid=midwood_trail><B>midwood_trail(310)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=midwood_trail><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=121665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume that you meant to type this: <BR>\n" );
document.write( "3(sqrt{w + 1}) = 6 <BR>\n" );
document.write( "We want to isolate the radical symbol as our first goal. <BR>\n" );
document.write( "To do so, divide both sides by 3 as step one. <BR>\n" );
document.write( "Doing so, we now have this radical equation: <BR>\n" );
document.write( "sqrt{w + 1} = 6/3 <BR>\n" );
document.write( "On the right side 6/3 = 2 and so we get this: <BR>\n" );
document.write( "sqrt{w + 1} = 2 <BR>\n" );
document.write( "To remove the radical symbol, we square both sides. In other words, raise both sides of the equation to the second power. <BR>\n" );
document.write( "[sqrt{w + 1}]^2 = 2^2 <BR>\n" );
document.write( "w + 1 = 4 <BR>\n" );
document.write( "Subtract 1 from both sides. <BR>\n" );
document.write( "w = 4 - 1 <BR>\n" );
document.write( "w = 3 <BR>\n" );
document.write( "WE NOW CHECK. <BR>\n" );
document.write( "To check, plug w = 3 in the original question given to you and simplify. <BR>\n" );
document.write( "You were given: 3(sqrt{w + 1}) = 6 <BR>\n" );
document.write( "Let w = 3 <BR>\n" );
document.write( "3(sqrt{3 + 1}) = 6 <BR>\n" );
document.write( "3(sqrt{4}) = 6 <BR>\n" );
document.write( "3(2) = 6 <BR>\n" );
document.write( "6 = 6....It checks! <BR>\n" );
document.write( "Final answer: w = 3 <BR>\n" );
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