Question

If x-1/x=2 then find x^4+1/4^4

Answer 1

x - 1/ x = 2


on squaring both side , we get


( x - 1/x )^2 = (2)^2



x^2 + 1/ x^2 - 2(x) (1/x) = 4



x^2 + 1/x^2 - 2 = 4



x^2 + 1/ x^2 = 6


again on squaring both side , we get


(x^2 + 1/x^2 )^2 = (6)^2




x^4 + 1/ x^4 + 2 (x^2 ) (1 /x^2) = 36




x^4 + 1 /x^4 + 2 = 36



x^4 + 1/x^4 = 36 - 2



x^4 + 1/ x^4 = 34