JEE Main 2024 · 4 April · morning · Numerical answer · +4 / −1

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+x A+y I=O 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 ________.