Question

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

I cant figure it out

Answer 1

The equation for x, y, and z is such that x³+y³+z³=k, for each k from one to

100.x³+y³+z³=k,

x = ∛k,

y = 0,

z = 0  will satisfy

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

Generally, the equation for k is mathematically given asx³+y³+z³=k Given the loose nature of the restrictions and the lack of knowledge about the integer nature of x, y, and z, this question has several answers.at

k = 1x= 1 , y = 0 , z = 0x =0 , y = 1 , z = 0x = 0 , y = 0 ,  = 1

at k = 2x= 1 , y = 1 , z = 0x =0 , y = 1 , z = 1x = 1 , y = 0 ,  

= 1at k = 3x= 1 , y = 1 , z = 3x = 1 , y = 1 , z = 1x = 1 , y = 0 ,  

= 1at k = 4x=∛3 , y = 1 , z = 0

x=∛2 , y = ∛2 , z = 0

x=∛2 , y = 1 , z = 1

x³+y³+z³=k,

x = ∛k  , y = 0 , z = 0  will satisfy

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