document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=695453>Question 695453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> so I am unsure how to do this. the worksheet says \"find the real number solutions\" and then gives me these equations<BR>\n" );
document.write( "8x^4-x=0<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x^4=7x^2-18=0\r<BR>\n" );
document.write( "\n" );
document.write( "if you could explain how to do that it would be much appreciated  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428547 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=428547\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the real number solutions<BR>\n" );
document.write( ":<BR>\n" );
document.write( "8x^4 - x = 0<BR>\n" );
document.write( "Factor out x<BR>\n" );
document.write( "x(8x^3 - 1) = 0<BR>\n" );
document.write( "this is difference of cubes, and can be factored<BR>\n" );
document.write( "x(2x-1)(4x^2 + x + 1) <BR>\n" );
document.write( "Two real solutions; (4x^2+x+1) will not yield a real solution)<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "and<BR>\n" );
document.write( "2x = 1<BR>\n" );
document.write( "x = .5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x^4 + 7x^2 - 18 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(x^2 + 9)(x^2 - 2) = 0<BR>\n" );
document.write( "Two real solutions, (x^2+9) will not yield real solutions<BR>\n" );
document.write( "x^2 = 2<BR>\n" );
document.write( "x = +<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = -<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );