document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=298175>Question 298175</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x+1+sqrt(x+4)=9<BR>\n" );
document.write( "once I isolate the radical I end up with x+4=(8-X)(8-x) WHat do  I do next.<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 #214568 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10858)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=214568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+1+sqrt(x+4)=9<BR>\n" );
document.write( "once I isolate the radical I end up with x+4=(8-X)(8-x) WHat do  I do next.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+1+%2B+sqrt%28x+%2B+4%29+=+9 ALIGN=MIDDLE  ALT=\"x+%2B+1+%2B+sqrt%28x+%2B+4%29+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x+%2B+4%29+=+8+-+x ALIGN=MIDDLE  ALT=\"sqrt%28x+%2B+4%29+=+8+-+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x + 4 = (8 - x)(8 - x)------- Square both sides of equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+4+=+64+-+16x+%2B+x%5E2 ALIGN=MIDDLE  ALT=\"x+%2B+4+=+64+-+16x+%2B+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ FOILing right-side of equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2+-+17x+%2B+60 ALIGN=MIDDLE  ALT=\"0+=+x%5E2+-+17x+%2B+60\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+17x+%2B+60+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+17x+%2B+60+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(x - 12)(x - 5) = 0\r<BR>\n" );
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document.write( "x = 12 or 5\r<BR>\n" );
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document.write( "However, when 12 is substituted back into the original equation, we get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12+%2B+1+%2B+sqrt%2812%2B4%29+=+9 ALIGN=MIDDLE  ALT=\"12+%2B+1+%2B+sqrt%2812%2B4%29+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13+%2B+sqrt%2816%29+=+9 ALIGN=MIDDLE  ALT=\"13+%2B+sqrt%2816%29+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13+%2B+4+%3C%3E+9 ALIGN=MIDDLE  ALT=\"13+%2B+4+%3C%3E+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But, when 5 is substituted back into the original equation, we get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+%2B+1+%2B+sqrt%285%2B4%29+=+9 ALIGN=MIDDLE  ALT=\"5+%2B+1+%2B+sqrt%285%2B4%29+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+%2B+sqrt%289%29+=+9 ALIGN=MIDDLE  ALT=\"6+%2B+sqrt%289%29+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+%2B+3+=+9 ALIGN=MIDDLE  ALT=\"6+%2B+3+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, the only solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x+=+5%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x+=+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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