Question

Find the center, vertices, and foci of the ellipse with equation 2x2 + 9y2 = 18

Answer 1

@genius12

Answer 2

Try to follow this example: http://www.algebra.com/algebra/homework/Quadratic-relations-and-conic-sections/Quadratic-relations-and-conic-sections.faq.question.38377.html

Answer 3

@electrokid

Answer 4

\[\frac{x^2}{9}+\frac{y^2}{2}=1\\
a=3\qquad b=\sqrt{2}
\]

Answer 5

rest follows

Answer 6

Is this the answer then?
Center: (0, 0); Vertices: (0, -3), (0, 3); Foci: (0, -\[\sqrt{7}\]

Answer 7

and (0, \[\sqrt{7}\] )

Answer 8

\[e=\sqrt{1-(2/9)}=\sqrt{7}/3\]

Answer 9

\[f=ea=\sqrt{7}\]
yep
all well

Answer 10

Ok thanks so much for your help!