Question

100. Решите уравнение: 1 1) |x| = 5 3 ; 4)-x| = -2,5; 7) →|x| = -63; 10) ||x|| - | 13 | ТЭТОТООЗ этанатэоп" отээмя 3. 3) |x| = -3; 6) |x| = 5,14; 9) -|-x| = |2,5; 4 2) -|x| = -- -/; 48B 5) |-x| = -1; (S 3 4 jas of (h 8) |–|—x|| = |−3|;​

Answer 1

Ответ:

тут все просто ответ |-5х|

Answer 2

Пошаговое объяснение:

|х| = 53

х1 = -53

х2 = 53

|-х| = -2,5

|х| = -2,5

х Є ∅

Нет решений, так как модуль числа всегда положительный или равен нулю

|х| = -63

х Є ∅

Нет решений, так как модуль числа всегда положительный или равен нулю

|х| = -3

Нет решений, так как модуль числа всегда положительный или равен нулю

х Є ∅

|х| = 5,14

х1 = -5,14

х2 = 5,14

-|-х| = |2,5|

-|х| = 2,5

|х| = -2,5

Нет решений, так как у числа всегда положительный или равен нулю

х Є ∅

|-х| = -1

|х| = -1

Нет решений так как модуль числа всегда положительный или равен нулю

х Є ∅

|-|-х|| = |-3|

|-х| = 3

|х| = 3

х1 = -3

х2 = 3

Answer 3

1) |x| = 5 To solve for x, we need to consider two cases: Case 1: x is positive Then |x| = x, so x = 5 Case 2: x is negative Then |x| = -x, so -x = 5 Solving for x, we get x = -5 So the solutions are x = 5 and x = -5

4) -x| = -2.5 To solve for x, we need to consider two cases: Case 1: x is positive Then -x| = -x, so -x = -2.5 Solving for x, we get x = 2.5 Case 2: x is negative Then -x| = x, so x = -2.5 So the solutions are x = 2.5 and x = -2.5

6) |x| = -3 There are no real solutions to this equation because the absolute value of any real number is always non-negative.

9) |x| = 5.14 To solve for x, we need to consider two cases: Case 1: x is positive Then |x| = x, so x = 5.14 Case 2: x is negative Then |x| = -x, so -x = 5.14 Solving for x, we get x = -5.14 So the solutions are x = 5.14 and x = -5.14

5) |-x| = -1 To solve for x, we need to consider two cases: Case 1: x is positive Then |-x| = x, so x = -1 This case does not produce a real solution. Case 2: x is negative Then |-x| = -x, so -x = -1 Solving for x, we get x = 1 So the solution is x = 1

Overall, the solutions to the given absolute value equations are as follows: 1) x = 5, -5 4) x = 2.5, -2.5 6) No real solution 9) x = 5.14, -5.14 5) x = 1