The number of negative integral solutions of x^2 2^ x+1 + 2^ |x-3|+2 = x^2 2^ |x-3|+4 + 2^ x-1 , is

JEE Main Mathematics question

The number of negative integral solutions of , is

Answer: (A)

For the equation is an identity, so it gives only (no negative ). For , and the equation becomes . Factor:

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Question ID VK-013138