|g(x)| = |h(x)| ⇔ g(x)² = h(x)²

a² - b² = (a - b)(a + b)

|x² - x| = |2x - 2|

(x² - x)² = (2x - 2)²

(x² - x)² - (2x - 2)² = 0

(x² - x - 2x + 2)(x² - x + 2x - 2) = 0

(x² - 3x + 2)(x² + x - 2) = 0

первая скобка D = 9 - 4 = 1  x12=(3+-1)/2 = 1  2

вторая скобка D=1+8 = 9   x34 = (-1 +-3)/2 = -2   1

(x - 1)(x - 2)(x + 2)(x -1)=0

x1=1

x2=2

x3=-2

x4=x1=1

Ответ  1  2   -2

Verified answer

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