Find the eccentricity of the ellipse.
x^2+7y^2=35
To find the eccentricity of an ellipse, we need to find the values of a and b, where a represents the semi-major axis length and b represents the semi-minor axis length.
The general equation of an ellipse is: x^2/a^2 + y^2/b^2 = 1.
Comparing this with the given equation: x^2 + 7y^2 = 35, we can see that a^2 = 35 and b^2 = 5 (by dividing both sides of the equation by 35 and rearranging).
Now, the eccentricity of an ellipse is given by the formula: e = √(a^2 - b^2)/a.
Plugging in the values, we have e = √(35 - 5)/√35.
Simplifying further, e = √30/√35.
Therefore, the eccentricity of the ellipse is √30/√35.