consider the ellipse : 9x^2 +2y^2=18

I have found everything except the endpoints of the minor axis.

Question

consider the ellipse : 9x^2 +2y^2=18

I have found everything except the endpoints of the minor axis.

amistre64 · Answer

its the same precedure as the endpoints of the major axis, just with the smaller denominator

amistre64 · Answer

$$ 9x^2 +2y^2=18$$
$$ \frac{9x^2}{18} +\frac{2y^2}{18}=\frac{18}{18}$$
$$ \frac{x^2}{18/9} +\frac{y^2}{18/2}=1$$
$$ \frac{x^2}{2} +\frac{y^2}{9}=1$$

amistre64 · Answer

the denoms i believe refer to "a" and "b" by convention, where a is the larger/major axis length; and b is the smaller

anonymous · Answer

thats what I got but I don't know what to do about the 2...    you need to square it such as 3^2 = 9

amistre64 · Answer

b^2 = 2

b = sqrt(2)

amistre64 · Answer

http://www.wolframalpha.com/input/?i=+9x%5E2+%2B2y%5E2%3D18

amistre64 · Answer

since the smaller denom is under the x, the minor axis is parallel to the x axis

amistre64 · Answer

and this thing is centered at the origin; so the minor end points are (sqrt(2),0) and 
(-sqrt(2),0)

anonymous · Answer

ohhhhhh ! duh!!! i completely forgot that you can do that! thanks so much it was killing me!!!

amistre64 · Answer

:) youre welcome, good luck