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Problem 8 - Entrance Test

The number of real solutions of |x² - 5x + 6| = 2 is

Correct: A

Solve x² - 5x + 6 = ±2. First: x² - 5x + 4 = 0 → x = 1,4. Second: x² - 5x + 8 = 0 has discriminant 25-32<0, no real roots. Hence 2 real solutions.