document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=436213>Question 436213</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve equation by factoring x^4+10=7x^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #301803 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=301803\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^4+10=7x^2<BR>\n" );
document.write( "x^4-7x^2+10=0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let z = x^2<BR>\n" );
document.write( "then we can write:<BR>\n" );
document.write( "z^2-7z+10=0<BR>\n" );
document.write( "(z-2)(z-5)=0<BR>\n" );
document.write( "z = {2, 5}<BR>\n" );
document.write( ".<BR>\n" );
document.write( "but, since z=x^2<BR>\n" );
document.write( "x = {sqrt(2), sqrt(5)} </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );