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

Question

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

ANSWER ASAP FOR BRAINLIEST

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Vân Khánh 4 years 2021-08-31T13:35:30+00:00 1 Answers 275 views 1

Answers ( )

  1. kimchi2
    0
    2021-08-31T13:36:57+00:00
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    Step-by-step explanation:

    Given : x³+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 = 0

    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 :

    x³+y³+z³=k,

    x = ∛k  , y = 0 , z = 0  will satisfy

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