document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=705192>Question 705192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation. Identify any extraneous solutions. x=&#8730;(x+30) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #434442 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=434442\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Original equation, x=&#8730;(x+30).\r<BR>\n" );
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document.write( "Square both sides: x^2=x+30.  Adjust into general form:<BR>\n" );
document.write( "x^2-x-30=0<BR>\n" );
document.write( "Factor it?  (x-6)(x+5)=0.<BR>\n" );
document.write( "Solutions possible are x=+6 or x=-5.  One of these may be \"extraneous\" and will not work in the original equation of x=&#8730;(x+30).\r<BR>\n" );
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document.write( "Check +6:<BR>\n" );
document.write( "6=sqrt(6+30)?  Yes.  Because 6*6=36.\r<BR>\n" );
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document.write( "Check -5:<BR>\n" );
document.write( "5=sqrt(-5+30)? 5=sqrt(+25)?  Yes.  This too works.  \r<BR>\n" );
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document.write( "Solution is then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-5%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%2B6%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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