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Integer Root Illation (Posted on 2016-04-23)

Determine all possible pairs (P,Q) of positive integers such that each of the roots of:
X³ - 17X² + Px - Q² = 0 is an integer.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

There are precisely 4 values for the roots P and Q and these are:
(1,8,8), 80, 8 (2,5,10),80, 10 (3,6,8), 90, 12 (4,4,9), 88, 12
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
re(2): solution	armando	2016-04-24 15:44:04
re(2): solution	xdog	2016-04-24 13:25:47
re: solution	armando	2016-04-24 11:16:20
solution	xdog	2016-04-24 10:26:19
No Subject	armando	2016-04-24 06:20:45

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