document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5224>Question 5224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find real solutions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B8%2Asqrt%28x%29=0 ALIGN=MIDDLE  ALT=\"x%2B8%2Asqrt%28x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thanks  Caroline </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2652 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=2652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you can work this out from this starting point if you are OK with working with  powers. If not, a very acceptable solution is to say the following:\r<BR>\n" );
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document.write( "Let y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+=+x ALIGN=MIDDLE  ALT=\"y%5E2+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore the equation then becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+%2B+8y+=+0 ALIGN=MIDDLE  ALT=\"y%5E2+%2B+8y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > which can be factorised to y(y+8) = 0\r<BR>\n" );
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document.write( "So either y=0 or y+8 = 0<BR>\n" );
document.write( "So, y=0 or y = -8. \r<BR>\n" );
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document.write( "y is a square root, which cannot be negative, so -8 is not a possible solution. \r<BR>\n" );
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document.write( "Hence, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29+=+0 ALIGN=MIDDLE  ALT=\"sqrt%28x%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Squaring sqrt(x) = 0 gives x=0\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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