For x R , the number of real roots of the equation 3x^2 - 4|x^2 - 1| + x - 1 = 0 is _____.

JEE Advanced 2021 Mathematics question

For , the number of real roots of the equation

- 4| - 1| + x - 1 = 0

is .

Answer: 4

Case : , the equation becomes , i.e. , ; both satisfy – 2 roots. Case

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Question ID VK-033894