document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=634462>Question 634462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify  y=-5x^7/x^8-6  i need to find my x and y intercepts i was able to find my y intercepts with x = 0 but im having trouble fnding my x-intercept with y=0. please help my instructor is of no help today. thank you richard<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #399617 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=399617\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: I'm assuming the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-5x%5E7%29%2F%28x%5E8-6%29 ALIGN=MIDDLE  ALT=\"y=%28-5x%5E7%29%2F%28x%5E8-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x-intercept(s): plug in y = 0 and solve for x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y=(-5x^7)/(x^8-6)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0=(-5x^7)/(x^8-6)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0*(x^8-6)=-5x^7\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0 = -5x^7\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-5x^7 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^7 = 0/(-5)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^7 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = seventh root of 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the x-intercept is (0,0)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Because there is only one y-intercept and this function goes through the origin (0,0), this means that the y-intercept is also (0,0) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );