perplexus.info :: Just Math : Three Root Trial

Three Root Trial (Posted on 2016-09-10)

Determine all possible values of a real number C such that the equation

(x² - 2Cx - 4(C² + 1))(x² - 4x - 2C(C² + 1)) = 0

has precisely three distinct roots.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(p,q,r)=(10,-4,-6), (2,1+√17, 1-√17)
For an explanation, refer to the solution submitted by xdog in this location.

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

	Subject	Author	Date
	solution	xdog	2016-09-11 09:45:48

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