Question

1) |4x+1|=32) |2x-5|=-73)|4+2x|=124)|7+3x|=0​

Answer 1

1) |4x+1|=3
4x=3+1
4x=4
x=4:4
x=1
Проверка:
|4*1-1|=3
3=3

Answer 2

Ответ:

Привет ! Вот ответ на твой вопрос ....

Answer 3

Sure, I can help you solve these absolute value equations:

1. |4x + 1| = 32

To solve this equation, you need to consider two cases:

Case 1: 4x + 1 = 32 4x = 32 - 1 4x = 31 x = 31/4

Case 2: -(4x + 1) = 32 -4x - 1 = 32 -4x = 32 + 1 -4x = 33 x = 33/(-4) x = -33/4

So, the solutions to the equation |4x + 1| = 32 are x = 31/4 and x = -33/4.

2. |2x - 5| = -7

Absolute values are never negative, so there are no real solutions to this equation.

3. |4 + 2x| = 12

Again, consider two cases:

Case 1: 4 + 2x = 12 2x = 12 - 4 2x = 8 x = 8/2 x = 4

Case 2: -(4 + 2x) = 12 -4 - 2x = 12 -2x = 12 + 4 -2x = 16 x = 16/(-2) x = -8

So, the solutions to the equation |4 + 2x| = 12 are x = 4 and x = -8.

4. |7 + 3x| = 0

In this case, the absolute value of any real number is never negative, so the only solution is:

7 + 3x = 0 3x = -7 x = -7/3

So, the solution to the equation |7 + 3x| = 0 is x = -7/3.