Question

Решите уравнения: 1) |x| = 7;3) |x + 1|= 3;2) |2x| = 8; 4) |x| = -5;5) [x-1| = 6;6) |x + 2|= 9.​

Answer 1

Ответ:

ответы прикреплены на фото.

примечание: 3) на фото отмечено как 2), а 2) как 3)

насчет четвёртого - ты, наверное, ошиблась, пока печатала и случайно написала минус рядом с пятёркой, ибо так решить не получится

только |x| = 5, а не |x| = -5

шаги решения:

1) x=7, x= -7

2) [у вас записано как 3) х+1=3, х+1=-3, x=2 x=-4

3) [у вас записано как 2)] 2x|x|=8, |x|=4, x=4, x=-4

4) x=5, x=-5

5) x-1=6, x-1=-6, x=7 x=-5

6) x+2=9, x+2=-9

Answer 2

1. |x| = 7: The absolute value of x is equal to 7. This equation has two possible solutions: x = 7 and x = -7.

2. |2x| = 8: The absolute value of 2x is equal to 8. Dividing both sides of the equation by 2, we get |x| = 4. This equation also has two possible solutions: x = 4 and x = -4.

3. |x + 1| = 3: The absolute value of x + 1 is equal to 3. This equation has two possible solutions: x = 2 and x = -4.

4. |x| = -5: The absolute value of x cannot be negative, so there are no solutions to this equation.

5. [x - 1] = 6: It seems that there might be a typo in the equation you provided. If you meant |x - 1| = 6, then we can proceed. The absolute value of x - 1 is equal to 6. This equation has two possible solutions: x = 7 and x = -5.

6. |x + 2| = 9: The absolute value of x + 2 is equal to 9. This equation has two possible solutions: x = 7 and x = -11.

In summary:

1. x = 7, -7
2. x = 4, -4
3. x = 2, -4
4. No solution
5. x = 7, -5
6. x = 7, -11