а) |3X + 2| = |6 - X|
3X + 2 = 6 - x - 3X + 2 = - (6 - X)
X = 1 - X = -4
Ответ: X1 = 1, X2 = -4.
б) |X - 8| = 3 |X + 2|
X - 8 = -3 (X + 2) - X - 8 = -3 (X + 2)
X = -7 - X=1/2
Ответ: X1 = -7, X2 = 1/2.
в) |X + 4| = 2 |X - 6|
X + 4 - 2 (X - 6) - X + 4 = -2 (X - 6)
X = 16 - X=8/3
Ответ: X1 = 16, X2 = 8/3.
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Answers & Comments
а) |3X + 2| = |6 - X|
3X + 2 = 6 - x - 3X + 2 = - (6 - X)
X = 1 - X = -4
Ответ: X1 = 1, X2 = -4.
б) |X - 8| = 3 |X + 2|
X - 8 = -3 (X + 2) - X - 8 = -3 (X + 2)
X = -7 - X=1/2
Ответ: X1 = -7, X2 = 1/2.
в) |X + 4| = 2 |X - 6|
X + 4 - 2 (X - 6) - X + 4 = -2 (X - 6)
X = 16 - X=8/3
Ответ: X1 = 16, X2 = 8/3.