Hello... I am Adnan from Bosnia... I am preparing for exam to be accepted in college ...
I need help for this problem...
Using the above information, we can see that 1 variable must be 1, while the other two variables must be 0.
Suppose are the roots of a cubic equation
we have so the equation is
At the same time ,
The equation :
It is given that
The equation is u^3 - u^2 = 0
u = 0 , 0, 1
Therefore , (x,y,z) = (0,0,1),(0,1,0),(1,0,0)
If the values of the right hand sides are not 1,the above method can be applied to solve it , It is not just used to prove the set of the solution is (0,0,1) in this case .