Find value of (5 - e2 ) for ellipse x2/8 + y2/4 = 1

Solution:

Answer: 9/2

x2/8 + y2/4 = 1

a2 = 8, b2 = 4

e = c/a = √((a2 – b2)/a2 ) = √(1-4/8) = √(1/2)

(5 – e2 ) = 5 – 1/2 = 9/2

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