document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=50560>Question 50560</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve x^4-10x+25=0 for x?  Please use factoring and show and explain each step.  Thank you so much.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33638 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=33638\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^4-10x+25=0 for x [First, factor the equation]<BR>\n" );
document.write( "(x^2-5)(x^2-5)=0 [Set each factor equal to zero and solve for x]<BR>\n" );
document.write( "x^2-5=0<BR>\n" );
document.write( "x^2=5<BR>\n" );
document.write( "sqrtx^2=sqrt5<BR>\n" );
document.write( "x=sqrt5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since both factors are the same, it is not necessary to solve for x.  Both answers will be x=sqrt5.<BR>\n" );
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