document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188921>Question 188921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all real number solutions of the equation algebraically:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%282x%2B1%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%282x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2\r<BR>\n" );
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document.write( "Can someone show me how to solve the problem by first isolating <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%282x%2B1%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%282x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the left side of the equation and then squaring each side? \r<BR>\n" );
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document.write( "So the first step gives us...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%282x%2B1%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%282x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2+ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now how do I square each side of this equation and find all solutions of x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141705 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=141705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%282x%2B1%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%282x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2\r<BR>\n" );
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document.write( "Can someone show me how to solve the problem by first isolating <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%282x%2B1%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%282x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the left side of the equation and then squaring each side? \r<BR>\n" );
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document.write( "So the first step gives us...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%282x%2B1%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%282x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2+ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now how do I square each side of this equation and find all solutions of x?<BR>\n" );
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document.write( "Square both sides<BR>\n" );
document.write( "(2x+1) = 4 + 4sqrt(x+1) + (x+1)<BR>\n" );
document.write( "Collect terms, isolate the sqrt<BR>\n" );
document.write( "x = 4 + 4sqrt(x+1)<BR>\n" );
document.write( "x-4 = 4sqrt(x+1)<BR>\n" );
document.write( "Square again<BR>\n" );
document.write( "x^2 - 8x + 16 = 16(x+1) = 16x + 16<BR>\n" );
document.write( "x^2 - 24x  = 0<BR>\n" );
document.write( "x*(x-24) = 0<BR>\n" );
document.write( "x = 0 (extraneous solution, ignore it)<BR>\n" );
document.write( "x = 24 </SPAN>\n" );
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