200 Giveaway

a3 + b3 + c3 = 33


Lets pick numbers that might work. This is called a trial and error. We need to pick cubic numbers that add up to 33. the number zero will not give us any results. So the three numbers must be nonzero.

1 + 8 + 27 = 36


This sum is close to 36.

-2 + 8 + 27 = 33

3(-2)3 + 23 + 33 = 33


Therefore,

a = 3(-2) = -1.2299

b = 2

c = 3