document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69673>Question 69673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2Bx-7=7 ALIGN=MIDDLE  ALT=\"%2Bx-7=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > x-7 is in square sign\r<BR>\n" );
document.write( "<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 #49634 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=49634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If I understand your problem correctly it is:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%5E2+=+7 ALIGN=MIDDLE  ALT=\"%28x-7%29%5E2+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "One of the ways to solve this is to take the square root of both sides to get:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7+=+%2B++sqrt%287%29 ALIGN=MIDDLE  ALT=\"x-7+=+%2B++sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7+=-sqrt%287%29 ALIGN=MIDDLE  ALT=\"x-7+=-sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Then add + 7 to both sides and the result is:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7+%2B-+sqrt%287%29 ALIGN=MIDDLE  ALT=\"x+=+7+%2B-+sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "If you calculate this you will find the two answers are about 9.645751311 and 4.354248689 \r<BR>\n" );
document.write( "\n" );
document.write( "Another way to solve it is to square out the left side of the equation by multiplying <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%2A%28x-7%29 ALIGN=MIDDLE  ALT=\"%28x-7%29%2A%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  If you do that, the equation becomes:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+14x+%2B+49+=+7 ALIGN=MIDDLE  ALT=\"x%5E2+-+14x+%2B+49+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Subtract 7 from both sides to make the equation:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+14x+%2B+42+=+0 ALIGN=MIDDLE  ALT=\"+x%5E2+-+14x+%2B+42+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "This is in the form for applying the quadratic formula that says if a quadractic equation is in the form:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2B+bx+%2B+c+=+0 ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+c+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then the solution for x is in the form:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "For this problem a = 1, b = -14, and c = 42\r<BR>\n" );
document.write( "\n" );
document.write( "Substituting the values of a, b, and c for this equation results in:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-14%29+%2B-+sqrt%28%28-14%29%5E2-4%2A1%2A42%29%29%2F%282%2A1%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-14%29+%2B-+sqrt%28%28-14%29%5E2-4%2A1%2A42%29%29%2F%282%2A1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "If you work this out you will get the same answers as you got previously\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );