document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174756>Question 174756</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395771188/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I need help graphing the ellipse and finding the foci of the following equation: 5x^2+y^2=25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129827 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=129827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help graphing the ellipse and finding the foci of the following equation: 5x^2+y^2=25<BR>\n" );
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document.write( "Divide thru by 25 to get: x^2/5 + y^2/25 = 1<BR>\n" );
document.write( "a = sqrt(25)=5 ; b = sqrt(5)<BR>\n" );
document.write( "Therefore c = sqrt(a^2+b^2) = sqrt(25+5) = sqrt(30)<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "Center is at (0,0)<BR>\n" );
document.write( "Major-axis vertices are: (0,5) and (0,-5)<BR>\n" );
document.write( "Minor-axis vertices are: (sqrt(5),0) and (-sqrt(5),0)<BR>\n" );
document.write( "Foci:(0,sqrt(30)) and (0,-sqrt(30))<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );