Question 726873
The ellipse has its center at the origin, a=2, and e=3/4. 
Write the equation of the ellipse.
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center:(0,0)
a=2
a^2=4
e=3/4=c/a
c=3a/4=6/4=3/2
c^2=9/4
b^2=a^2-c^2=4-9/4=36/4-9/4=27/4
This is an ellipse with vertical major axis.
Its standard form: {{{(x-h)^2/b^2+(y-k)^2/a^2=1}}}, a>b, (h,k)=(x,y) coordinates of center.
Equation of given ellipse:
{{{x^2/4+y^2/(27/4)=1}}}