Question

Locate the foci of the ellipse. Show your work.

x^2/36+y^2/11=1

Answer 1

@celinegirl

Answer 2

if you asked my to guess i would say 6 and squareroot of 11 loll

Answer 3

no one likes these conic section questions, but they are not that hard

Answer 4

the center is evidently \((0,0)\) the only thing we need to get is the way it is oriented

Answer 5

left?

Answer 6

yes

Answer 7

because the larger number is under the \(x^2\) terms

Answer 8

now all we need to know is how many units to the left and right of \((0,0)\) the foci are

Answer 9

it is \[\sqrt{a^2-b^2}\] which in your case is easy since \(a^2=36,b^2=11\) so it is \[\sqrt{36-11}=\sqrt{25}\]

Answer 10

aka 5

Answer 11

what is 5 units to the left of \((0,0)\)?

Answer 12

(5,0)and(−5,0)