Answer:
x = (k/3)^(1/3)
Explanation:
The equation x^3 + y^3 + z^3 = k is a general form of a cubic equation in three variables, where k is a constant.
For example, if x = y = z, then we have:
3x^3 = k
So:
x = (k/3)^(1/3)
If we set x = y = z = (k/3)^(1/3), then we have a solution to the equation x^3 + y^3 + z^3 = k.