document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=751484>Question 751484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find x intercept, y intercept,  determine symmetry for  equation x^4 -25x^2 = y^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #457231 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=457231\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find x intercept, y intercept, determine symmetry for equation <BR>\n" );
document.write( "x^4 -25x^2 = y^3<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x-intercepts:<BR>\n" );
document.write( "Let y = 0<BR>\n" );
document.write( "Then (x^2-5x)(x^2+5x) = 0<BR>\n" );
document.write( "x(x-5)x(x+5) = 0<BR>\n" );
document.write( "x = 0 or x = 5 or x = -5<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "y-intercepts:<BR>\n" );
document.write( "Let x = 0<BR>\n" );
document.write( "y^3 = 0<BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Symmetry:<BR>\n" );
document.write( "f(x) = cbrt[x^4-25x^2]<BR>\n" );
document.write( "f(-x) = cbrt[x^4-25x^2]<BR>\n" );
document.write( "-f(-x) = -cbrt(x^4-25x^2)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Since f(x) = f(-x) you have y-axis symmetry.<BR>\n" );
document.write( "================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );