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Rationality certification (Posted on 2016-10-27) Difficulty: 3 of 5
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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  Subject Author Date
Hints/Tipserrata -Ady TZIDON2016-11-10 04:10:50
Some Thoughtssqrt(a) is rationalBrian Smith2016-10-28 10:37:30
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