Hello. I am solving this exercise.

I am having troubles with part 3. When I solved these optimal Hicksian demands I got very complicated expression. I don't think the answer has to be this tedious and it will complicate further calculus, so I bet I made a mistake somewhere. Could you look at the exercise and help me to finish it? I would be very grateful.

. Consider a consumer who consumes two goods and has a utility function U(X1, X2) = xix, a, where x1 and x2 are the quantities of the two goods, and 0