SOLUTION: What are the foci of the ellipse 8x2 + 12y2 = 96? show work

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Question 475250: What are the foci of the ellipse 8x2 + 12y2 = 96? show work
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
8x%5E2+%2B+12y%5E2+=+96
<==> x%5E2%2F12+%2B+y%5E2%2F8+=+1
Now for ellipse, b%5E2+=+a%5E2+-+c%5E2
==> 8+=+12+-+c%5E2 ==> c%5E2+=+4 ==>c = 2, -2.
Hence the foci are (-2,0) and (2,0). (The major axis is along the x-axis.)