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The number of solution of the equation ...

The number of solution of the equation ` |x-x^(2)-1| = |2x -3-x^(2)|` is
(1) 0 (2) 1 (3) (4) Infinitely many

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AI Generated Solution

To solve the equation \( |x - x^2 - 1| = |2x - 3 - x^2| \), we will analyze the absolute values and set up two cases based on the properties of absolute values. ### Step-by-Step Solution: 1. **Identify the expressions inside the absolute values**: Let \( A = x - x^2 - 1 \) and \( B = 2x - 3 - x^2 \). 2. **Set up the cases based on the absolute values**: ...
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