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303

Part of 1955 Moscow Mathematical Olympiad

Problems(1)

MMO 303 Moscow MO 1955 ax^2+bx+c = 4-th power of integer x

Source:

8/17/2019
The quadratic expression ax2+bx+cax^2+bx+c is the 44-th power (of an integer) for any integer xx. Prove that a=b=0a = b = 0.
trinomialIntegerPoweralgebranumber theory