document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675861>Question 675861</A>: <I><SPAN STYLE=\"word-break: break-all;\"> &#8730;(x)+&#8730;(x-7)=7 I solved this equation in two different ways and I got two different answers but they both work when I check them? (X=28 and x=16)<BR>\n" );
document.write( "I did:<BR>\n" );
document.write( "&#8730;(x)+&#8730;(x-7)=7 (then I squared everything)<BR>\n" );
document.write( "x+x-7=49<BR>\n" );
document.write( "2x=56 x=28<BR>\n" );
document.write( "Then I did:<BR>\n" );
document.write( "&#8730;(x)+&#8730;(x-7)=7<BR>\n" );
document.write( "&#8730;(x-7)=7-&#8730;(x) (moved the &#8730;(x) to the other side)<BR>\n" );
document.write( "x-7=49-14&#8730;(x)+x (squared both sides)<BR>\n" );
document.write( "-56=-14&#8730;(x)<BR>\n" );
document.write( "56/14=&#8730;(x)<BR>\n" );
document.write( "&#8730;(x)=4<BR>\n" );
document.write( "x=16\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #420100 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=420100\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 28 doesn't work<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2828%29+%2B+sqrt%2828-7%29+=+5.29+%2B+4.58+=+9.87%3C%3E7 ALIGN=MIDDLE  ALT=\"sqrt%2828%29+%2B+sqrt%2828-7%29+=+5.29+%2B+4.58+=+9.87%3C%3E7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "16 does, however, work<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816%29+%2B+sqrt%2816-7%29+=+4+%2B+3+=+7 ALIGN=MIDDLE  ALT=\"sqrt%2816%29+%2B+sqrt%2816-7%29+=+4+%2B+3+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Here are the looong, somewhat convoluted steps, which should have been taken when you arrived at 28.  <BR>\n" );
document.write( "Obviously, your second solution was much easier to achive than this...<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29+%2B+sqrt%28x-7%29+=+7 ALIGN=MIDDLE  ALT=\"sqrt%28x%29+%2B+sqrt%28x-7%29+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%29%2Bsqrt%28x-7%29%29%5E2+=+7%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%28x%29%2Bsqrt%28x-7%29%29%5E2+=+7%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%29%2Bsqrt%28x-7%29%29%28sqrt%28x%29%2Bsqrt%28x-7%29%29+=+49 ALIGN=MIDDLE  ALT=\"%28sqrt%28x%29%2Bsqrt%28x-7%29%29%28sqrt%28x%29%2Bsqrt%28x-7%29%29+=+49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29%5E2+%2B+sqrt%28x%29sqrt%28x-7%29+%2B+sqrt%28x-7%29sqrt%28x%29+%2B+sqrt%28x-7%29%5E2+=+49 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+2sqrt%28x%28x-7%29%29+%2B+x-7+=+49 ALIGN=MIDDLE  ALT=\"x+%2B+2sqrt%28x%28x-7%29%29+%2B+x-7+=+49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+2sqrt%28x%5E2-7x%29+%2B+x-7+=+49 ALIGN=MIDDLE  ALT=\"x+%2B+2sqrt%28x%5E2-7x%29+%2B+x-7+=+49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B+2sqrt%28x%5E2-7x%29+=+56 ALIGN=MIDDLE  ALT=\"2x+%2B+2sqrt%28x%5E2-7x%29+=+56\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28x%5E2-7x%29+=+56+-+2x ALIGN=MIDDLE  ALT=\"2sqrt%28x%5E2-7x%29+=+56+-+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2-7x%29+=+28+-+x ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2-7x%29+=+28+-+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2-7x%29%5E2+=+%2828-x%29%5E2 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2-7x%29%5E2+=+%2828-x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-7x+=+784+-+56x+%2B+x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-7x+=+784+-+56x+%2B+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "-7x + 56x = 784<BR>\n" );
document.write( "...<BR>\n" );
document.write( "49x = 784<BR>\n" );
document.write( "...<BR>\n" );
document.write( "x = 16 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );