perplexus.info :: Numbers : Solve in Integers

Solve in Integers (Posted on 2023-10-01)

Find all possible integer solutions that satisfy this system of equations:

a+b+c=1
a³+b³+c²=1

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

a,b,c} = {-3,-2,6}{-2,-3, 6}{-2,0,3}{0,-2,3}{0,1,0}{1,0,0}, {a=-b}
For an explanation, refer to the solution submitted by broll in this location.

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

Subject	Author	Date
re(2): presumably all of them.	Charlie	2023-10-01 09:55:31
Probably all, though not proved	Larry	2023-10-01 08:45:09
re: presumably all of them.	broll	2023-10-01 08:42:03
Possible Solution	broll	2023-10-01 08:40:10
presumably all of them.	Charlie	2023-10-01 08:28:41

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