Question

Wartosc bezwzgledna

Rozwiaz rownania:

1.|4-7x|=12

2.|x+2|+|x|=6

3.|x+3|-|3x-6|=3-x

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Answer 1

1.

|4 - 7x| = 12

4 - 7x = 12 lub 4 - 7x = -12

-7x = 12 - 4           -7x = -12 - 4

-7x = 8 /:(-7)          -7x = -16 /:(-7)

x = -8/7                      x = 16/7

 

2.

|x + 2| + |x| = 6

zał: x < 0

|x + 2| - x = 6

|x + 2| = x + 6

x + 2 = x + 6 lub x + 2 = -x - 6

2 = 6 - fałsz         x + x = -6 - 2

                                  2x = -8 /:2

                                     x = -4

zał: x >=0

|x + 2| + x = 6

|x + 2| = 6 - x

x + 2 = 6 - x lub x + 2 = x - 6

x + x = 6 - 2             2 = -6 - fałsz

2x = 4 /:2

x = 2

 

3.

|x + 3| - |3x - 6| = 3 - x

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