Unsolvable ? If a3+b3+c3=33, What is a, b and c value? They may be negative values.

Question

Hi,

 

If a3+b3+c3=33, What is a, b and c value?

They may be negative values.

It should be exactly 33 .

 

Thanks.

Answer 1

There is at least one solution, namely

 

let a = +3, then a³ = 27

 

let b = 6th root of 36, then the 6th root of 36 cubed = 6

 

then c = 0

 

then 27 + 6 + 0 = 33