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|x - 1| + |3x - 3| = 16

|6x - 9| + |4x - 6| = 20​


Odpowiedź :

|x - 1| + |3x - 3| = 16

|x - 1| + |3(x - 1)| = 16

|x - 1| + 3|x - 1| = 16

     4|x - 1| = 16         /:4

       |x - 1| = 4

x - 1 = 4     ∨    x - 1 = -4

x = 5      ∨     x = -3

|6x - 9| + |4x - 6| = 20

|3(2x - 3)| + |2(2x - 3)| = 20

3|2x - 3| + 2|2x - 3| = 20

     5|2x - 3| = 20    /:5

      |2x - 3| = 4

2x - 3 = 4     ∨    2x - 3 = -4

 2x = 7         ∨       2x = -1

x = ⁷/₂       ∨       x = -¹/₂