Question

А)|х-16|=48 b)|3x-8|+19=3 Можно быстреейе

Answer 1

Ответ:

Пошаговое объяснение:

А)

|х - 16| = 48

1)

х - 16 = 48

х = 48 + 16

х = 64

х1 = 64

2)

х - 16 = -48

х = -48 + 16

х = -32

х2 = -32

В)

|3х - 8| + 19 = 3

|3х - 8| = 3 - 19

|3х - 8| = -16

Нет корней так как модуль числа всегда положительный или равен нулю

х € ∅

Answer 2

Відповідьf a) 64 b) 32

Покрокове пояснення:

Answer 3

Solving Equation A: |х-16|=48+b

To solve the equation |х-16|=48+b, we need to consider two cases: when х-16 is positive and when х-16 is negative.

Case 1: х-16 is positive If х-16 is positive, then the equation becomes х-16=48+b. To solve for х, we can isolate х by adding 16 to both sides of the equation: х-16+16=48+b+16 х=64+b

Case 2: х-16 is negative If х-16 is negative, then the equation becomes -(х-16)=48+b. To solve for х, we can isolate х by multiplying both sides of the equation by -1: -1*(х-16)=-(48+b) -х+16=-(48+b) -х=-48-b-16 -х=-64-b

Therefore, the two possible solutions for the equation |х-16|=48+b are х=64+b and х=-64-b.

Solving Equation B: |3x-8|+19=3

To solve the equation |3x-8|+19=3, we need to consider two cases: when 3x-8 is positive and when 3x-8 is negative.

Case 1: 3x-8 is positive If 3x-8 is positive, then the equation becomes |3x-8|+19=3x+19=3. To solve for x, we can isolate x by subtracting 19 from both sides of the equation: 3x+19-19=3-19 3x=-16 x=-16/3

Case 2: 3x-8 is negative If 3x-8 is negative, then the equation becomes |3x-8|+19=-(3x-8)+19=8-3x+19=3. To solve for x, we can isolate x by subtracting 19 from both sides of the equation: 8-3x+19-19=3-19 8-3x=-16 -3x=-16-8 -3x=-24 x=8

Therefore, the two possible solutions for the equation |3x-8|+19=3 are x=-16/3 and x=8.

Please note that these solutions are based on the given equations and may not be the only possible solutions.