document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36741>Question 36741</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve sqrt(x + 1)) = 1 - sqrt(2x)\r<BR>\n" );
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document.write( "I started with sqrt of x + 1 = 1 - sqrt 2x^2.  Next I got [1 - sqrt 2x]^2 = 2x - 2 sqrt 2x + 1.  Not sure if I'm going the right route...  Any help is appreciated </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22574 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22574\">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%28x%2B1%29+=+1+-+sqrt%282x%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28x%2B1%29+=+1+-+sqrt%282x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The aim is to get the square roots on one side so that we can square both sides to remove the square roots. As i say, that is the aim but in this question, we have to do some further work:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28x%2B1%29+%2B+sqrt%282x%29+=+1+ ALIGN=MIDDLE  ALT=\"+sqrt%28x%2B1%29+%2B+sqrt%282x%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28sqrt%28x%2B1%29+%2B+sqrt%282x%29%29%5E2+=+1%5E2+ ALIGN=MIDDLE  ALT=\"+%28sqrt%28x%2B1%29+%2B+sqrt%282x%29%29%5E2+=+1%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28sqrt%28x%2B1%29+%2B+sqrt%282x%29%29%2A%28sqrt%28x%2B1%29+%2B+sqrt%282x%29%29+=+1+ ALIGN=MIDDLE  ALT=\"+%28sqrt%28x%2B1%29+%2B+sqrt%282x%29%29%2A%28sqrt%28x%2B1%29+%2B+sqrt%282x%29%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28x%2B1%29sqrt%28x%2B1%29+%2B+sqrt%28x%2B1%29sqrt%282x%29+%2B+sqrt%282x%29sqrt%28x%2B1%29+%2B+sqrt%282x%29sqrt%282x%29+=+1+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B1%29+%2B+sqrt%28x%2B1%29sqrt%282x%29+%2B+sqrt%282x%29sqrt%28x%2B1%29+%2B+2x+=+1+ ALIGN=MIDDLE  ALT=\"+%28x%2B1%29+%2B+sqrt%28x%2B1%29sqrt%282x%29+%2B+sqrt%282x%29sqrt%28x%2B1%29+%2B+2x+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B1%29+%2B+2sqrt%28x%2B1%29sqrt%282x%29+%2B+2x+=+1+ ALIGN=MIDDLE  ALT=\"+%28x%2B1%29+%2B+2sqrt%28x%2B1%29sqrt%282x%29+%2B+2x+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x%2B1+%2B+2sqrt%28x%2B1%29sqrt%282x%29+=+1+ ALIGN=MIDDLE  ALT=\"+3x%2B1+%2B+2sqrt%28x%2B1%29sqrt%282x%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+2sqrt%28x%2B1%29sqrt%282x%29+=+0+ ALIGN=MIDDLE  ALT=\"+3x+%2B+2sqrt%28x%2B1%29sqrt%282x%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x+%2B+2sqrt%28%28x%2B1%29%2A%282x%29%29+=+0+ ALIGN=MIDDLE  ALT=\"+3x+%2B+2sqrt%28%28x%2B1%29%2A%282x%29%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2sqrt%28%28x%2B1%29%2A%282x%29%29+=+-3x+ ALIGN=MIDDLE  ALT=\"+2sqrt%28%28x%2B1%29%2A%282x%29%29+=+-3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28%28x%2B1%29%2A%282x%29%29+=+-3x%2F2+ ALIGN=MIDDLE  ALT=\"+sqrt%28%28x%2B1%29%2A%282x%29%29+=+-3x%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and now square both sides again:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x%2B1%29%2A%282x%29%29+=+9x%5E2%2F4+ ALIGN=MIDDLE  ALT=\"+%28%28x%2B1%29%2A%282x%29%29+=+9x%5E2%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%28%28x%2B1%29%2A%282x%29%29+=+9x%5E2+ ALIGN=MIDDLE  ALT=\"+4%28%28x%2B1%29%2A%282x%29%29+=+9x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%282x%5E2%2B2x%29+=+9x%5E2+ ALIGN=MIDDLE  ALT=\"+4%282x%5E2%2B2x%29+=+9x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8x%5E2%2B8x+=+9x%5E2+ ALIGN=MIDDLE  ALT=\"+8x%5E2%2B8x+=+9x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+x%5E2+-+8x+ ALIGN=MIDDLE  ALT=\"+0+=+x%5E2+-+8x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+8x+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+8x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x(x-8) = 0<BR>\n" );
document.write( "so x=0 or x-8=0<BR>\n" );
document.write( "--> x=0 or x=8\r<BR>\n" );
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document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
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