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Solve the equation |x² - 3x + 2| = 2 for x.

1. x = 0, 3
2. x = 1, 2
3. x = 0, 3, (3 + sqrt(17))/2, (3 - sqrt(17))/2
4. x = 2, 3

Correct answer: x = 0, 3

Solution

Remove the modulus by considering both signs of the inside expression, solve each quadratic, and keep only the real roots.

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