Let the length of a latus rectum of an ellipse x²/a² + y²/b² = 1 be 10. If its eccentricity is the minimum value of the function f(t) = t² + t + 11/12, t ∈ R, then a² + b² is equal to:
Question: Let the length of a latus rectum of an ellipse x 2 a 2 + y 2 b 2 = 1 \dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1 be 10 . If its eccentricity is the minimum value of the function f ( t ) = t 2 + t + 11 12 , t ∈ R, then a 2 + b 2 a^2+b^2 is equal to: