perplexus.info :: Just Math : Coefficient From Roots

Coefficient From Roots (Posted on 2016-02-07)

Each of the coefficients of the polynomial:
F(x) = x⁴ + P*X³ + Q*X² + R*X + S is real.

Determine Q, given that the equation F(x) =0 has precisely four non real roots, such that:
Two of the roots add up to 3+4i and the remaining two roots multiply up to 13+i

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Q=51.
For an explanation, refer to:
The solution submitted by Harry in this location., and:
The solution submitted by Jer in this location.,

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

Subject	Author	Date
Solution - another approach	Harry	2016-02-07 16:19:05
Solution - the hard way	Jer	2016-02-07 16:12:32

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