please help me solve this question and show all your work. thanks

Consider the ellipse given by m2 + 9:92 = 9 and the point ( 5, -2). For this problem I want you to nd two points on the ellipse: - Find the point on the ellipse that is closest to the point (5,-2). - Find the point on the ellipse that is farthest away from the point {5,-2). Use Lagrange multipliers for this problem where you minimize/maximize the distance given by the distance formula. Make sure your solution is clear, complete, and detailed