Question

if x,y,z belongs to r, find all ordered triplets x,y,z that satisfy the system of equations: x+y+z=3 and x3+y3+z3=3​

Answer 1

Answer:

x+y+z=100

It is given that x, y and z should be positive integers i.e., x1 ,y1 ,z1

Let x1=x−1, y1=y−1 and z1=z−1

 Now equation becomes,

 x1+y1+z1=97

Now the total number of solution is =97+3−1C3−1=99C2=4851