perplexus.info :: Just Math : Complex Conclusion II

Complex Conclusion II (Posted on 2014-11-08)

Given that the equation: x¹⁰ + (13x - 1)¹⁰ = 0 has ten complex roots:
R1, R1, R2, R2, R3, R3, R4, R4, R5 and R5
where the bolded form represents complex conjugation.

Determine the value of:

(R1*R1)^-1+( R2*R2) ^-1+(R3*R3) ^-1+(R4*R4) ^-1+( R5*R5) ^-1

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required value is 850.
For an explanation, refer to the solution submitted by Harry in this location.

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

Subject	Author	Date
re: Solution	xdog	2014-11-11 17:02:05
Solution	Harry	2014-11-10 11:40:56

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