document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89134>Question 89134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (x-1)^2=7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65000 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=65000\">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=%28x-1%29%5E2+=+7 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Take the square root of both sides to get:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1+=+%2Bsqrt%287%29 ALIGN=MIDDLE  ALT=\"x-1+=+%2Bsqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1+=+-sqrt%287%29 ALIGN=MIDDLE  ALT=\"x-1+=+-sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Add 1 to both sides to get rid of the -1 on the left side. By adding 1 to both sides<BR>\n" );
document.write( "the equation becomes:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1+%2B-+sqrt%287%29 ALIGN=MIDDLE  ALT=\"x+=+1+%2B-+sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "So x equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bsqrt%287%29 ALIGN=MIDDLE  ALT=\"1%2Bsqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+sqrt%287%29 ALIGN=MIDDLE  ALT=\"1+-+sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "You can check these two answers by substituting them for x in the original problem.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "First substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2B+sqrt%287%29 ALIGN=MIDDLE  ALT=\"1+%2B+sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for x and the original problem becomes:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281+%2B+sqrt%287%29+-+1%29%5E2+=+7 ALIGN=MIDDLE  ALT=\"%281+%2B+sqrt%287%29+-+1%29%5E2+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Notice that within the parentheses the + 1 and the -1 cancel so the equation reduces to:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%287%29%29%5E2+=+7 ALIGN=MIDDLE  ALT=\"%28sqrt%287%29%29%5E2+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "and when you square the square root of 7, the answer is 7 so the equation becomes:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7+=+7 ALIGN=MIDDLE  ALT=\"7+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ".<BR>\n" );
document.write( "and this checks out. So that answer is correct. <BR>\n" );
document.write( ".<BR>\n" );
document.write( "Next substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+sqrt%287%29 ALIGN=MIDDLE  ALT=\"1+-+sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for x and the original problem becomes:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281+-+sqrt%287%29+-+1%29%5E2+=+7 ALIGN=MIDDLE  ALT=\"%281+-+sqrt%287%29+-+1%29%5E2+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Notice that within the parentheses the + 1 and the -1 again cancel so the equation <BR>\n" );
document.write( "reduces to:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-sqrt%287%29%29%5E2+=+7 ALIGN=MIDDLE  ALT=\"%28-sqrt%287%29%29%5E2+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "and when you square the negative square root of 7 by multiplying it by the negative <BR>\n" );
document.write( "square root of y, the answer is +7 so the equation becomes:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7+=+7 ALIGN=MIDDLE  ALT=\"7+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( ".<BR>\n" );
document.write( "and this answer also checks out.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope this helps you to understand the problem. Cheers! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );