document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026785>Question 1026785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Happy Easter!\r<BR>\n" );
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document.write( "Equations with two radical terms.\r<BR>\n" );
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document.write( "1.) 3 + square root of z-6= square root of z+9\r<BR>\n" );
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document.write( "2.) If g(x)= square root of x + square root of x-5, find any x for which g(x)=5\r<BR>\n" );
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document.write( "3.) square root of a= -1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642103 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=642103\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B+sqrt%28z-6%29+=+sqrt%28z%2B9%29 ALIGN=MIDDLE  ALT=\"3%2B+sqrt%28z-6%29+=+sqrt%28z%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2B6sqrt%28z-6%29+%2B+z-6+=+z%2B9 ALIGN=MIDDLE  ALT=\"9%2B6sqrt%28z-6%29+%2B+z-6+=+z%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > after squaring both sides<BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6sqrt%28z-6%29+=+6 ALIGN=MIDDLE  ALT=\"6sqrt%28z-6%29+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > after simplifying,<BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28z-6%29+=+1 ALIGN=MIDDLE  ALT=\"sqrt%28z-6%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> z-6 = 1 after squaring both sides.<BR>\n" );
document.write( "==> z = 7. <BR>\n" );
document.write( "Substituting z = 7 into the original equation to check if it is extraneous, it easily seen to satisfy the original equation, and so is the only solution.\r<BR>\n" );
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document.write( "2.)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29+%2B+sqrt%28x-5%29+=+5 ALIGN=MIDDLE  ALT=\"sqrt%28x%29+%2B+sqrt%28x-5%29+=+5\"   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-5%29+=5-sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x-5%29+=5-sqrt%28x%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-5+=+25+-+10sqrt%28x%29+%2B+x ALIGN=MIDDLE  ALT=\"x-5+=+25+-+10sqrt%28x%29+%2B+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > after squaring both sides,<BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10sqrt%28x%29+=+30 ALIGN=MIDDLE  ALT=\"10sqrt%28x%29+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" > after simplifying,<BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29+=+3 ALIGN=MIDDLE  ALT=\"sqrt%28x%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> x = 9.<BR>\n" );
document.write( "Substituting x = 9 into the original equation to check if it is extraneous, it easily seen to satisfy the original equation, and so is the only solution.\r<BR>\n" );
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