Matrices and Determinants Part 3

Let A be a square matrix of order 2 such that |A|=2 and the sum of its diagonal elements is -3 . If the points (x,y) satisfying A2+xA+yI=0 lie on a hyperbola, whose transverse axis is parallel to the x-axis, eccentricity is e and the length of the latus rectum is ℓ, then e4+ℓ4 is equal to _______