Question

4-2×|x|=2 Срочнооооо!!!

Answer 1

$4-2|x|=2\\ 2|x|=2\\|x|=1\\ x= \pm1$

Answer 2

To solve the equation 4 - 2|x| = 2, follow these steps:

Step 1: Isolate the absolute value expression by moving constants to the other side: 4 - 2 = 2|x|

Step 2: Simplify: 2 = 2|x|

Step 3: Divide both sides by 2: 1 = |x|

Now, the equation has two possible solutions, one for when the expression inside the absolute value is positive and another for when it's negative.

Case 1: x is positive (x > 0) If x is positive, then |x| = x. So, we have: 1 = x

Case 2: x is negative (x < 0) If x is negative, then |x| = -x. So, we have: 1 = -x

For Case 1, when x = 1, the equation is satisfied: 4 - 2|1| = 4 - 2 = 2, which is true. For Case 2, when x = -1, the equation is also satisfied: 4 - 2|-1| = 4 - 2 = 2, which is true.

Thus, the solutions to the equation are x = 1 and x = -1.