document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118260>Question 118260</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> x2 + x + sqr root of x2 + x -2 = 0\r<BR>\n" );
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document.write( "b4 + 13b2 + 36 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86381 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=86381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 + x + [sqr root of (x^2 + x -2)] = 0 <BR>\n" );
document.write( "sqrt(x^2+x-2) = -(x^2+x)<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "x^2+x-2 = x^4 + 2x^3+ x^2<BR>\n" );
document.write( "x^4- 2x^3 +2 = 0<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "This equation has no Real Number solutions.<BR>\n" );
document.write( "----------------------------\r<BR>\n" );
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document.write( "b^4 + 13b^2 + 36 = 0<BR>\n" );
document.write( "(b^2+9)(b^2+4) = 0<BR>\n" );
document.write( "(b+3i)(b-3i)(b-2i)(b+2i) = 0<BR>\n" );
document.write( "b = -3i or b=3i or b=2i or b=-2i<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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