document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35509>Question 35509</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me solve this for X<BR>\n" );
document.write( "sqrtx+7 = x+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21650 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21650\">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%2B7%29+=+x%2B1%29+ ALIGN=MIDDLE  ALT=\"sqrt%28x%2B7%29+=+x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Square both sides, which eliminates the radical on the left side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B7+=+%28x%2B1%29%5E2 ALIGN=MIDDLE  ALT=\"x%2B7+=+%28x%2B1%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%2B7+=+x%5E2+%2B+2x+%2B+1 ALIGN=MIDDLE  ALT=\"x%2B7+=+x%5E2+%2B+2x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is quadratic, so set it equal to zero by subtracting x and 7 from each side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2+%2B2x+%2B1+-+x+-+7 ALIGN=MIDDLE  ALT=\"0+=+x%5E2+%2B2x+%2B1+-+x+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2+%2B+x+-+6 ALIGN=MIDDLE  ALT=\"0+=+x%5E2+%2B+x+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It factors!!!  (I think they ALWAYS do!!)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0=+%28x%2B3%29%28x-2%29+ ALIGN=MIDDLE  ALT=\"+0=+%28x%2B3%29%28x-2%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+=+-3 ALIGN=MIDDLE  ALT=\"x+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++x=+2 ALIGN=MIDDLE  ALT=\"++x=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "HOWEVER, you must check these answers, since you squared both sides of the equation.  Substitute both values back into the original equation.\r<BR>\n" );
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document.write( "Check x = -3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B7%29+=+x%2B1%29+ ALIGN=MIDDLE  ALT=\"sqrt%28x%2B7%29+=+x%2B1%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%28-3%2B7%29+=+-3%2B1 ALIGN=MIDDLE  ALT=\"sqrt%28-3%2B7%29+=+-3%2B1\"   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+=+-2 ALIGN=MIDDLE  ALT=\"sqrt%284%29+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "This answer must be rejected by the principle value definition of square root.\r<BR>\n" );
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document.write( "Check x = 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B7%29+=+x%2B1%29+ ALIGN=MIDDLE  ALT=\"sqrt%28x%2B7%29+=+x%2B1%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%282%2B7%29+=+2%2B1 ALIGN=MIDDLE  ALT=\"sqrt%282%2B7%29+=+2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%29+=+3 ALIGN=MIDDLE  ALT=\"sqrt%289%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "This answer checks!!\r<BR>\n" );
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document.write( "Final answer is x= 2.\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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document.write( " </SPAN>\n" );
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