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Curious Cubic Constant (Posted on 2009-05-02)

Determine the minimum value of a positive integer constant c such that the equation xy³ - y³+ x + y = c has precisely four distinct solutions in positive integers.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The minimum value of c is 200 with (x,y)= (1,199) (4,4) (8,3) and (100,1)

For an explanation, refer to the solutions submitted by Daniel in this location, and by Harry in this location.

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

Subject	Author	Date
Smallest c for 1,2,3,4,5,6 distinct solutions	Brian Smith	2016-07-03 19:51:22
Rectangular grid (Spoiler)	Harry	2009-05-02 22:57:28
computer solution	Daniel	2009-05-02 20:14:02

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