document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130152>Question 130152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> square root x + 63 + 9 = x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95078 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=95078\">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+%2B+63%29+%2B+9+=+x ALIGN=MIDDLE  ALT=\"sqrt%28x+%2B+63%29+%2B+9+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x+%2B+63%29+=+x-9 ALIGN=MIDDLE  ALT=\"sqrt%28x+%2B+63%29+=+x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 9 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B63+=+%28x-9%29%5E2 ALIGN=MIDDLE  ALT=\"x%2B63+=+%28x-9%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B63+=+x%5E2-18x%2B81 ALIGN=MIDDLE  ALT=\"x%2B63+=+x%5E2-18x%2B81\"   DISABLED_style= \"max-width:90%; height:auto;\" > Foil\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%5E2-18x%2B81-x-63 ALIGN=MIDDLE  ALT=\"0=x%5E2-18x%2B81-x-63\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Subtract x from both sides.  Subtract 63 from both sides. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%5E2-19x%2B18 ALIGN=MIDDLE  ALT=\"0=x%5E2-19x%2B18\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%28x-18%29%28x-1%29 ALIGN=MIDDLE  ALT=\"0=%28x-18%29%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the right side (note: if you need help with factoring, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/playground/change-this-name4450.solver>solver</a>)\r<BR>\n" );
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document.write( "Now set each factor equal to zero:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=18 ALIGN=MIDDLE  ALT=\"x=18\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >    Now solve for x in each case\r<BR>\n" );
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document.write( "So our possible solutions are \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=18 ALIGN=MIDDLE  ALT=\"x=18\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Now let's check our possible solutions\r<BR>\n" );
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document.write( "Let's check the first solution <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=18 ALIGN=MIDDLE  ALT=\"x=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x+%2B+63%29+%2B+9+=+x ALIGN=MIDDLE  ALT=\"sqrt%28x+%2B+63%29+%2B+9+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation}}} Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2818+%2B+63%29+%2B+9+=+18 ALIGN=MIDDLE  ALT=\"sqrt%2818+%2B+63%29+%2B+9+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=18 ALIGN=MIDDLE  ALT=\"x=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2881%29+%2B+9+=+18 ALIGN=MIDDLE  ALT=\"sqrt%2881%29+%2B+9+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+%2B+9+=+18 ALIGN=MIDDLE  ALT=\"9+%2B+9+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of 81 to get 9\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18+=+18 ALIGN=MIDDLE  ALT=\"18+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add. Since the two sides of the equation are equal, this verifies the solution <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=18 ALIGN=MIDDLE  ALT=\"x=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Let's check the first solution <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x+%2B+63%29+%2B+9+=+x ALIGN=MIDDLE  ALT=\"sqrt%28x+%2B+63%29+%2B+9+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation}}} Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281+%2B+63%29+%2B+9+=+1 ALIGN=MIDDLE  ALT=\"sqrt%281+%2B+63%29+%2B+9+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2864%29+%2B+9+=+1 ALIGN=MIDDLE  ALT=\"sqrt%2864%29+%2B+9+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+%2B+9+=+18 ALIGN=MIDDLE  ALT=\"8+%2B+9+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of 64 to get 8\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17+=+18 ALIGN=MIDDLE  ALT=\"17+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add. Since the two sides of the equation are <b>not</b> equal, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an extraneous solution\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our only solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=18 ALIGN=MIDDLE  ALT=\"x=18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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