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How many real values of x satisfy the equation x² - 3|x| + 2 = 0?

1. 3
2. 2
3. 4
4. 1

Correct answer: 4

Solution

The equation can be analyzed by considering the cases for |x|, leading to two separate quadratic equations: one for x ≥ 0 and another for x < 0. Each case yields two distinct real solutions, resulting in a total of four real solutions.

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