Question

3) |x|+6=1 4) |x|+12=8​

Answer 1

Ответ:

х+12=8

х=12-8

х=-4

-4+12=8

Пошаговое объяснение:

12-х=8

х=12-8

х=4

12-4=8

    8=8

Answer 2

To solve the equations |x| + 6 = 1 and |x| + 12 = 8, you'll need to consider two cases for each equation: one where x is positive, and another where x is negative.

Let's start with the first equation:

1. |x| + 6 = 1

Case 1: x is positive (x > 0) For x > 0, |x| is just x. So the equation becomes: x + 6 = 1

Now, subtract 6 from both sides of the equation: x = 1 - 6 x = -5

Case 2: x is negative (x < 0) For x < 0, |x| is -x. So the equation becomes: -x + 6 = 1

Now, subtract 6 from both sides of the equation: -x = 1 - 6 -x = -5

To isolate x, multiply both sides by -1 (since -x is the same as multiplying x by -1):

x = 5

So for the first equation |x| + 6 = 1, you have two solutions: x = -5 and x = 5.

Now, let's move on to the second equation:

2. |x| + 12 = 8

Case 1: x is positive (x > 0) For x > 0, |x| is just x. So the equation becomes: x + 12 = 8

Now, subtract 12 from both sides of the equation: x = 8 - 12 x = -4

Case 2: x is negative (x < 0) For x < 0, |x| is -x. So the equation becomes: -x + 12 = 8

Now, subtract 12 from both sides of the equation: -x = 8 - 12 -x = -4

To isolate x, multiply both sides by -1 (since -x is the same as multiplying x by -1):

x = 4

So for the second equation |x| + 12 = 8, you have two solutions: x = -4 and x = 4.