document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=683434>Question 683434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions to the equation:\r<BR>\n" );
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document.write( "x - 10 sqrt(x) + 25 = 0\r<BR>\n" );
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document.write( "I figured out via guess and check that x = 25 but how do i solve for it using algebra? also is there more then one answer?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423584 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=423584\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use the theorem\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \{\forall\,x,y\,|\,\in\,\mathbb{R}\}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-y%29%5E2=x%5E2-2xy%2By%5E2 ALIGN=MIDDLE  ALT=\"%28x-y%29%5E2=x%5E2-2xy%2By%5E2\"   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=x-10sqrt%28x%29+%2B+25+=+0+ ALIGN=MIDDLE  ALT=\"x-10sqrt%28x%29+%2B+25+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >...in your case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is actually <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, you have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%29-5%29%5E2+=+0+ ALIGN=MIDDLE  ALT=\"%28sqrt%28x%29-5%29%5E2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this will be equal to zero if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29-5+=+0+ ALIGN=MIDDLE  ALT=\"sqrt%28x%29-5+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29=+5+ ALIGN=MIDDLE  ALT=\"sqrt%28x%29=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >....raise both sides to the power of two\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%29%29%5E2=+5%5E2+ ALIGN=MIDDLE  ALT=\"%28sqrt%28x%29%29%5E2=+5%5E2+\"   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=x=+25+ ALIGN=MIDDLE  ALT=\"x=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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