If roots of the equation ax^2+bx+c=0; (a,b,c N) are rational numbers, then which of the following cannot be true?

JEE Main Mathematics question

If roots of the equation ; are rational numbers, then which of the following cannot be true?

Answer: (B)

Rational roots need for an integer , i.e. . If are all odd then is odd, so and are integers whose sum is odd, so one of them

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Question ID VK-013734