document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164396>Question 164396</A>: <I><SPAN STYLE=\"word-break: break-all;\">  \sqrt{x}+ 4 = 2\sqrt{x+5} solve and check  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121114 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121114\">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%29%2B+4+=+2%2Asqrt%28x%2B5%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29%2B+4+=+2%2Asqrt%28x%2B5%29\"   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%29%2B+4%29%5E2+=+%282%2Asqrt%28x%2B5%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%28x%29%2B+4%29%5E2+=+%282%2Asqrt%28x%2B5%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B8%2Asqrt%28x%29%2B+16+=+4%2A%28x%2B5%29 ALIGN=MIDDLE  ALT=\"x%2B8%2Asqrt%28x%29%2B+16+=+4%2A%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B8%2Asqrt%28x%29%2B+16+=+4x%2B20 ALIGN=MIDDLE  ALT=\"x%2B8%2Asqrt%28x%29%2B+16+=+4x%2B20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2B8%2Asqrt%28x%29-4=0 ALIGN=MIDDLE  ALT=\"-3x%2B8%2Asqrt%28x%29-4=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-8%2Asqrt%28x%29%2B4=0 ALIGN=MIDDLE  ALT=\"3x-8%2Asqrt%28x%29%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Look similar to a quadratic equation, let's use a substitution.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=u%5E2 ALIGN=MIDDLE  ALT=\"x=u%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3u%5E2-8u%2B4=0 ALIGN=MIDDLE  ALT=\"3u%5E2-8u%2B4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This quadratic equation can be factored.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283u-2%29%28u-2%29=0 ALIGN=MIDDLE  ALT=\"%283u-2%29%28u-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "First solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3u-2=0 ALIGN=MIDDLE  ALT=\"3u-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3u=2 ALIGN=MIDDLE  ALT=\"3u=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=2%2F3 ALIGN=MIDDLE  ALT=\"u=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=u%5E2=4%2F9%29 ALIGN=MIDDLE  ALT=\"highlight%28x=u%5E2=4%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Second solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u-2=0 ALIGN=MIDDLE  ALT=\"u-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u=2 ALIGN=MIDDLE  ALT=\"u=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=u%5E2=4%29 ALIGN=MIDDLE  ALT=\"highlight%28x=u%5E2=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "Let's check the answers.<BR>\n" );
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document.write( "First solution: x=4/9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29%2B+4+=+2%2Asqrt%28x%2B5%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29%2B+4+=+2%2Asqrt%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%2F9%29%2B4=2%2Asqrt%284%2F9%2B5%29 ALIGN=MIDDLE  ALT=\"sqrt%284%2F9%29%2B4=2%2Asqrt%284%2F9%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3%2B4=2%2Asqrt%284%2F9%2B45%2F9%29 ALIGN=MIDDLE  ALT=\"2%2F3%2B4=2%2Asqrt%284%2F9%2B45%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3%2B12%2F3=2%2Asqrt%2849%2F9%29 ALIGN=MIDDLE  ALT=\"2%2F3%2B12%2F3=2%2Asqrt%2849%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F3=2%2A7%2F3 ALIGN=MIDDLE  ALT=\"14%2F3=2%2A7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F3=14%2F3 ALIGN=MIDDLE  ALT=\"14%2F3=14%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
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document.write( "Second solution: x=4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29%2B+4+=+2%2Asqrt%28x%2B5%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29%2B+4+=+2%2Asqrt%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29%2B+4+=+2%2Asqrt%284%2B5%29 ALIGN=MIDDLE  ALT=\"sqrt%284%29%2B+4+=+2%2Asqrt%284%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B4=2%2Asqrt%289%29 ALIGN=MIDDLE  ALT=\"2%2B4=2%2Asqrt%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=2%2A3 ALIGN=MIDDLE  ALT=\"6=2%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=6 ALIGN=MIDDLE  ALT=\"6=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "Both answers have been checked. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );