find x,y,z real triples satisfying the given condition
x^4+y^4+z^4-4xyz=-1
find x,y,z real triples satisfying the given condition
x^4+y^4+z^4-4xyz=-1
ashwen venkatesh , 12 Years ago
Grade 12
Algebra> number-theory...
1 AnswersAmit Jain
The whole equation can be re-arranged to (x2-y2)2+(z2-1)2+2(xy-z)2=0
All three squares must be zero. So the triplets can be found out correspondingly as (1,1,1), (-1,1,-1),(1,-1,-1).
Amit Jain
IIT Delhi
AskIITians Faculty
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Other Related Questions on algebra
Can we divide two vectors? If this is possible then how?
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available
Last Activity: 2 Years ago
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available
Last Activity: 2 Years ago
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
1 Answer Available
Last Activity: 3 Years ago