Posted by victor.m on .
Given the equation of an ellipse is 4x^2 + y^2 + 24x  6y + 9 = 0
(i) Find the centre,foci and vertices
(ii)calculate the lengths of the major and minor axes

maths 
Reiny,
complete the square ....
4(x^2 + 6x + ...) + *y^2  6y + .....) = 9
4(x^2 + 6x + 9) + *y^2  6y + 9) = 9 + 36 + 9
4(x+3)^2 + (y+3)^2 = 36
divide by 36
(x+3)^2 /9 + (y+3)^2 /36 = 1
take it from here ...