document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270701>Question 270701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all real solutions to each equation:\r<BR>\n" );
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document.write( "64. x^2+x+&#8730;(x^2+x)-2=0\r<BR>\n" );
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document.write( "Would you square all terms to get rid of the sq root over the (x^2+x) first and then solve for x with a 4th power coeffcient?  Thanks for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198239 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=198239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all real solutions to each equation: <BR>\n" );
document.write( "64. x^2+x+&#8730;(x^2+x)-2=0 <BR>\n" );
document.write( "Would you square all terms to get rid of the sq root over the (x^2+x) first and then solve for x with a 4th power coeffcient?<BR>\n" );
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document.write( "Let's see:<BR>\n" );
document.write( "x^2 + x - 2 = - sqrt(x^2+x) <BR>\n" );
document.write( "(x+2)(x-1) = -sqrt(x^2+x)<BR>\n" );
document.write( "[(x+2)(x-1)]^2 = x(x+1)<BR>\n" );
document.write( "[(x+2)(x-1)]^2-x(x+1) = 0<BR>\n" );
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document.write( "I guess you have no choice here but to go ahead and square, simplify, <BR>\n" );
document.write( "solve, and check for extraneous solutions.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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