If the roots of the equation 4x^2-(5k+1)x+5k=0 differ by unity, then which one of the following is a possible value of k?

NDA 2021 Mathematics question

If the roots of the equation

-(5k+1)x+5k=0

differ by unity, then which one of the following is a possible value of ?

Answer: (C)

Let the roots be : , . Given :

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Question ID VK-033656