Решите уравнение: 1) |2x|=6 2) |3x|=12 3) |5x|+3=8 4) |4x|+5=1 5) |1,5x|-2=4 6) 7-|6x|=-5

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Математика

19 февраля, 15:01

Решите уравнение: 1) |2x|=6 2) |3x|=12 3) |5x|+3=8 4) |4x|+5=1 5) |1,5x|-2=4 6) 7-|6x|=-5

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Ксения Зайцева · Answer 1

1) |2x| = 6.

2x = ± 6.

x = ± 3.

x1 = 3, x2 = - 3.

2) |3x| = 12.

3x = ± 12.

x = ± 4.

x1 = 4, x2 = - 4.

3) |5x| + 3 = 8.

|5x| = 5.

5x = ± 5.

x = ± 1.

x1 = 1, x2 = - 1.

4) |4x| + 5 = 1.

|4x| = - 4.

4x = ± (-4).

x = ± (-1).

x1 = - 1, x2 = 1.

5) |1,5x| - 2 = 4.

|1,5x| = 6.

1,5x = ± 6.

x = ± 4.

x1 = 4, x2 = - 4.

6) 7 - |6x| = - 5.

-|7x| = - 12.

|7x| = 12.

7x = ± 12.

x = ± 12/7.

x1 = 1 5/7, x2 = - 1 5/7.

Ответ: 1) x1 = 3, x2 = - 3; 2) x1 = 4, x2 = - 4; 3) x1 = 1, x2 = - 1; 4) x1 = - 1, x2 = 1; 5) x1 = 4, x2 = - 4; 6) x1 = 1 5/7, x2 = - 1 5/7.