perplexus.info :: Just Math : Rationality certification

Rationality certification (Posted on 2016-10-27)

Given a and b are two rational numbers, fulfilling the equality
a^3 + 4a^2*b = 4a^ 2 + b^4.

Prove that the value of sqrt(a-1) is a rational number.

No Solution Yet Submitted by Ady TZIDON

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