Best of luck to the class of 2024 for their HSC exams. You got this! Let us know your thoughts on the HSC exams here
YOU can help the next generation of students in the community! Share your trial papers and notes on our Notes & Resources page

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.

You must log in or register to reply here.

Share:

Facebook Twitter Reddit Pinterest Tumblr WhatsApp Email Link

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top