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KISS solution (Posted on 2021-12-29)

(x+y)^2=x^3+y^3

The above is a d2 or d3 problem if one tries simulation or algebraic solution.

Now solve it d1!

Non negative integers, of course !

Source: appeared as a question and an answer(super complicated!)in QUORA

Submitted by Ady TZIDON

Rating: 5.0000 (3 votes)

Solution: (Hide)

Visually analyzing the equation, no paper:
Any value over 2 makes the RHS bigger than LHS!
So only couples from set {0,1,2} shoulde be considered.
a. X=Y ( 0,0 ) and (2,2).
b. X less than Y: (0,1) and (1,2).
C. by symmetry : (1;0) and (2,1).
No other solutions!

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

Subject	Author	Date
No Subject	Cassandra Michael	2024-01-26 04:47:16
KISS solutions	Ady TZIDON	2022-01-04 05:01:38
re: levels	Math Man	2022-01-01 13:31:56
Another D1 approach	Jer	2021-12-31 09:19:03
re: levels - the graph	Brian Smith	2021-12-30 11:46:57
Solution	Brian Smith	2021-12-30 11:20:15
levels	Charlie	2021-12-29 14:55:05
D1 Solution It Is!!!	K Sengupta	2021-12-29 08:23:09

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