Question

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.​

Answer 1

Answer:

Given : x+y³+z³=k , k from 1 to 100

To Find : x, y, and z

Solution:

This Question can have lot of solutions as constraints are very less

there is no information whether x,y & z

are integer

+ ve , Real numbers

k = 1

x= 1, y = 0, z = O

x=0, y = 1, z = 0

x = 0, y = 0, = 1

k = 2

x= 1, y = 1, z = 0

x=0, y = 1, z =1

x = 1, y = 0, = 1

k = 3

x= 1, y = 1, z = 3

x = 1, y = 1, z = 1

x = 1, y = 0, = 1

k = 4

x=3, y=1, z = 0

x=2, y = 2, z = 0

x=2, y = 1, z = 1

This way we can have so many solution

Easiest :

x+y+z=k,

x= 3√k , y = 0, z = 0 will satisfy