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Let f(x)=x^2-1. How many distinct real roots are there to f(f(f(x)))=0?

Let f(x)=x^2-1. How many distinct real roots are there to f(f(f(x)))=0?

Grade:11

3 Answers

Akash Kumar Dutta
98 Points
8 years ago

Dear Vivek,

the req. eq=
(x^4-2x^2)[ (x^4-2x^2)^3 - 2 ] =0
Solving the first eq.....
hence x=0,+root2,-root2
Solving the second eq.....
x=more 4 values.
Hence total no. of distinct roots are 7(ANS)

Regards.

Akash Kumar Dutta
98 Points
8 years ago

Dear Vivek,
I think i have made a mistake in the ans.
can you please post the correct solution..
Regards.

Abhishekh kumar sharma
34 Points
8 years ago

8

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