Question

-5,4|x|-3,6=-1,2-6|x|​

Answer 1

Ответ:

X. =-4, x. =4

1. 2

..........

Answer 2

To solve the equation |-5,4|x|-3,6=-1,2-6|x|, we can start by simplifying the absolute values and then isolate the variable on one side of the equation. Let's break it down step by step:

|-5,4|x| - 3,6| = -1,2 - 6|x|

Step 1: Distribute the absolute value bars: -5,4|x| - 3,6 = -1,2 - 6|x|

Step 2: Move the variable terms to one side and the constant terms to the other side: -5,4|x| + 6|x| = -1,2 + 3,6

Step 3: Combine like terms: (6 - 5,4)|x| = 2,4

Step 4: Simplify: 0,6|x| = 2,4

Step 5: Divide both sides of the equation by 0,6: |x| = 2,4 ÷ 0,6 |x| = 4

Now we have the absolute value of x equal to 4. To find the values of x, we consider both the positive and negative cases:

Case 1: x is positive: x = 4

Case 2: x is negative: x = -4

Therefore, the equation |-5,4|x|-3,6=-1,2-6|x| has two solutions: x = 4 and x = -4.