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Integer Triplets. (1 Viewer)

Thread starter Fus Ro Dah
Start date Oct 2, 2012

Fus Ro Dah

Member

#1

$\\ $Find all integer triplets $ (x,y,z) $ that satisfy $ x^3+y^3+z^3=(x+y+z)^3$

I

iampeterr

King

#2

x = 0, y = 0 and z = 0

J

johnpap

New Member

#3

It just factors to (x+y)(y+z)(x+z) = 0, so x=-y, y=-z or x=-z are the solution sets.

Fus Ro Dah

Member

#4

johnpap said:
It just factors to (x+y)(y+z)(x+z) = 0, so x=-y, y=-z or x=-z are the solution sets.

Correct.

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