Question

Find the properties for the ellipse with the equation 36x^2 + 4y^2 = 9.
What does e=?

Answer 1

sqrt(1-b^2/a^2)

Answer 2

lets put the equation in standard form

36x^2 + 4y^2 = 9
divide by 9 throughout

=> 4x^2 + (4/9)y^2 = 1
=> x^2/(1/2)^2 + y^2/(3/2)^2 = 1

a = 1/2
b = 3/2

Answer 3

Defcon, the first thing you should do is put the equation in standard form
divide both sides by 9
then make the coefficients of x^2 and y^2 the denominator

Answer 4

Silence...

Answer 5

c = sqrt(a^2-b^2)

once you have c, you can find e using
e = c/a

Answer 6

Not necessary to calculate c

Answer 7

or a, or b

Answer 8

eccentricity is defined in terms of c
its a ratio of distance from center and semi major axis length

Answer 9

e = sqrt(1-b^2/a^2)

Answer 10

mhmm

Answer 11

It is the same thing but you do not need to calculate c

Answer 12

I got it now thanks guys