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

below is your answer

Explanation:

There are no solutions whenever k=4,5mod9.

This holds since it is not difficult to verify that for every integer n, we have n3=0,±1mod9.

Up till this year, there were just two values for k in the range 1..100 for which it was not known if there were a solution. These values are k=33,42.

Both values are now known to have solutions. See 42 is the answer to the question “

in chemistry, a solution’s concentration is how much of a dissolvable substance, known as a solute, is mixed with another substance, called the solvent. the standard formula is c = m/v, where c is the concentration, m is the mass of the solute dissolved, and v is the total volume

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