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given f(x)=(xpower2)-1.find distict zeros of the equation f(f(......f(x)....))=0 where there exist 2006 notations of f inside inside the equation.

given f(x)=(xpower2)-1.find distict zeros of the equation f(f(......f(x)....))=0 where there exist 2006 notations of f inside inside the equation.

Grade:10

2 Answers

Vijay Luxmi Askiitiansexpert
357 Points
11 years ago

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Vijay Luxmi

Vijay Luxmi Askiitiansexpert
357 Points
11 years ago

Dear Rama,

First find roots of f(x) which are +1 and -1

Now find roots of f(f(x)) which are 0 and + -  (root(2) + 1) 

continuing this trend for even notation you will find the roots are   

+  -  (root(root..........(root(2)+1)+1) +1) +1)..... +1)  +1) 
 

The number of square root signs is equal to number of notations.

 


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