Question

| 2-х |+ 3 = 10| 2х | + 3 = 105 - | х | = 2​

Answer 1

Ответ:

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Answer 2

It looks like you have an equation involving absolute values. Let's solve it step by step:

|2x| + 3 = 10 |2x| = 10 - 3 |2x| = 7

Now, you have two possible cases for |2x|:

Case 1: 2x = 7 2x = 7 x = 7/2

Case 2: 2x = -7 2x = -7 x = -7/2

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

|2x| + 3 = 105 - |x| = 2

We already know that |2x| = 7, so we can substitute this value into the equation:

7 + 3 = 105 - |x| = 2

Now, solve for |x|:

10 = 105 - |x|

Subtract 105 from both sides:

-95 = -|x|

To remove the negative sign, multiply both sides by -1:

95 = |x|

So, you have two possible values for |x|:

1. |x| = 95
2. |x| = 7

Now, let's consider both cases:

Case A: |x| = 95 Since |x| is always positive or zero, this case is not valid because it results in a contradiction.

Case B: |x| = 7 This is consistent with the earlier result for |2x| = 7.

So, the solution to the equation is x = 7/2 or x = -7/2 when |x| = 7.