perplexus.info :: Just Math : Astute Root Evaluation

Astute Root Evaluation (Posted on 2007-01-07)

Let C(x)=³√x and F(x)=⁴√x. Determine the value of each of the following expressions:

(i) C(25 + C(6 + C(5 + C(25 + C(6 + C(5+.....))))))

(ii) F(14 + F(5 + F(79 + F(14 + F(5+ F(79+ .....))))))

Can you come up with an analytic (apart from a computer program) solution?

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

(i) 3.

(ii)1.8918763177

For an explanation, refer to the solution submitted by Brian Smith in the comments.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: For the simple case	Brian Smith	2016-12-18 15:16:16
For the simple case	Gamer	2007-01-08 00:30:50

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