Answer :

(i) x+y


Given that,


x2 + y2 = 29


x2 + y2 + 2xy – 2xy = 29


(x + y)2 – 2 (2) = 29


(x + y)2 = 29 + 4


x + y = �


(ii) x-y


x2 + y2 = 29


x2 + y2 + 2xy – 2xy = 29


(x – y)2 + 2 (2) = 29


(x – y)2 + 4 = 29


(x – y)2 = 25


(x – y) = � 5


(iii) x4+y4


x2 + y2 = 29


Squaring both sides, we get


(x2 + y2)2 = (29)2


x4 + y4 + 2x2y2 = 841


x4 + y4 + 2 (2)2 = 841


x4 + y4 = 841 – 8


x4 + y4 = 833


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