document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95952>Question 95952</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618052917/algebrahomeworkh>Precalculus with limits</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions algebraically for the equation: <BR>\n" );
document.write( "(square root of x-10)-4=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69893 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=69893\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x+-+10%29%29+-+4+=+0 ALIGN=MIDDLE  ALT=\"%28sqrt%28x+-+10%29%29+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Get rid of the -4 on the left side by adding +4 to both sides to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x-10%29+=+4 ALIGN=MIDDLE  ALT=\"sqrt%28x-10%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Square both sides of this equation. The left side becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-10 ALIGN=MIDDLE  ALT=\"x-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the right side becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the equation now is:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+10+=+16 ALIGN=MIDDLE  ALT=\"x+-+10+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Get rid of the -10 on the left side by adding 10 to both sides to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+26 ALIGN=MIDDLE  ALT=\"x+=+26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Check this result by substituting 26 for x in the given equation to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2826+-+10%29%29+-+4+=+0 ALIGN=MIDDLE  ALT=\"%28sqrt%2826+-+10%29%29+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This reduces to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2816%29%29+-+4+=+0 ALIGN=MIDDLE  ALT=\"%28sqrt%2816%29%29+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The square root of 16 is +4 so the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+-+4+=+0 ALIGN=MIDDLE  ALT=\"4+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "And this works.  So x = 26 is a correct answer.  <BR>\n" );
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document.write( "Hope this helps you to understand and work the problem.<BR>\n" );
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