Self Maths Puzzle Category

Given that
a+b+c=1
a^2+b^2+c^2=2
a^3+b^3+c^3=3
If a^4+b^4+c^4= x/y where x & y are positive coprime integers, then find x+y

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Self Other Question
Given that x+y+xy=1, where x and y are nonzero real numbers,find the value of xy+1/xy−y/x−x/y. a person is using two credit cards and got a third credit card.in one card there is a bill of 17500 which is to be paid by feb 1st,(this card has limit on 25000 and one emi and there is no bal left).and the second card bill of 19500 which is to be paid by 11th feb,(limit 90000....and have three emis and no bal left.....)these two paymnet can only be paid by swiping money from the third card which has a limit of only 60000....(third card which is the fresh card ).if the person pays both the bills from the third card then what will be the best solution to pay the third card bill which comes in the end of feb,exact date not known.please provide the solution..............