Question

3 I x-2 I - I 2-x I / -3 = -5,2 I - это модуль / - дробь

Answer 1

3*(|х-2|)+(|2-х|)/3=-5,2
Так как левая часть всегда больше нуля, а правая меньше, то корней нету.

Answer 2

To solve the equation, we'll first simplify the expression and then find the value of "x."

The given equation is:

|3x - 2| - |2 - x| / -3 = -5.2

To simplify the expression involving absolute values, we need to consider different cases based on the sign of the expressions inside the absolute value signs.

Case 1: (3x - 2) and (2 - x) are both positive In this case, the equation becomes:

(3x - 2) - (2 - x) / -3 = -5.2

Case 2: (3x - 2) and (2 - x) are both negative In this case, the equation becomes:

-(3x - 2) + (2 - x) / -3 = -5.2

Case 3: (3x - 2) is positive and (2 - x) is negative In this case, the equation becomes:

(3x - 2) + (2 - x) / -3 = -5.2

Case 4: (3x - 2) is negative and (2 - x) is positive In this case, the equation becomes:

-(3x - 2) - (2 - x) / -3 = -5.2

Now, we'll solve each case:

Case 1: (3x - 2) - (2 - x) / -3 = -5.2 (3x - 2) + (x - 2) / -3 = -5.2 (4x - 4) / -3 = -5.2 4x - 4 = -5.2 * -3 4x - 4 = 15.6 4x = 15.6 + 4 4x = 19.6 x = 19.6 / 4 x = 4.9

Case 2: -(3x - 2) + (2 - x) / -3 = -5.2 -(3x - 2) - (x - 2) / -3 = -5.2 (-3x + 2 + x - 2) / -3 = -5.2 (-2x) / -3 = -5.2 2x = -5.2 * -3 2x = 15.6 x = 15.6 / 2 x = 7.8

Case 3: (3x - 2) + (2 - x) / -3 = -5.2 (3x - 2) - (x - 2) / -3 = -5.2 (3x - 2 - x + 2) / -3 = -5.2 (2x) / -3 = -5.2 2x = -5.2 * -3 2x = 15.6 x = 15.6 / 2 x = 7.8

Case 4: -(3x - 2) - (2 - x) / -3 = -5.2 (-3x + 2) - (x - 2) / -3 = -5.2 (-3x + 2 - x + 2) / -3 = -5.2 (-4x + 4) / -3 = -5.2 4x - 4 = -5.2 * -3 4x - 4 = 15.6 4x = 15.6 + 4 4x = 19.6 x = 19.6 / 4 x = 4.9

So, the solutions for the equation are x = 4.9 and x = 7.8.