Question

-2|х+1|+4 1/3=-1 2/3​

Answer 1

Ответ: x₁=2      x₂=-4.

Пошаговое объяснение:

-2*|x+1|+4¹/₃=-1²/₃

-2*|x+1|=-4¹/₃-1²/₃

-2*|x+1|=-6  |÷(-2)

|x+1|=3

Раскрываем модуль:

{x+1=3           {x=2        {x₁=2

{-(x+1)=3        {-x-1=3     {x₂=-4.

Answer 2

To solve the equation -2|х+1| + 4 1/3 = -1 2/3, we'll follow these steps:

Step 1: Simplify the mixed numbers.

4 1/3 can be written as an improper fraction: 4 1/3 = 13/3

-1 2/3 can also be written as an improper fraction: -1 2/3 = -5/3

So, the equation becomes: -2|х+1| + 13/3 = -5/3

Step 2: Move the constant term to the other side of the equation.

To do this, subtract 13/3 from both sides: -2|х+1| = -5/3 - 13/3 -2|х+1| = -18/3 -2|х+1| = -6

Step 3: Divide both sides of the equation by -2.

When we divide by a negative number, the inequality signs are reversed: |х+1| = -6 / -2 |х+1| = 3

Step 4: Solve for the absolute value.

We'll split the equation into two cases:

Case 1: х + 1 = 3 If х + 1 = 3, then х = 3 - 1 х = 2

Case 2: -(х + 1) = 3 If -(х + 1) = 3, then х + 1 = -3 х = -3 - 1 х = -4

So the two possible solutions for the equation -2|х+1| + 4 1/3 = -1 2/3 are х = 2 and х = -4.