Question 838345
Find the equation with a Foci of (-6,0) and (6,0) and an x-intercept of (-8,0) and (8,0)
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Equation is that of an ellipse with horizontal major axis and center at the origin.
Its standard form: {{{x^2/a^2+y^2/b^2=1}}}
length of major axis=16=2a
a=8
a^2=64
foci: ±6
c=6
c^2=36
c^2=a^2-b^2
b^2=a^2-c^2=64-36=28
Equation:{{{x^2/64+y^2/28=1}}}