Question

21|х-5|=168 решите уравнение​

Answer 1

21|x-5|=168

|x-5|=168/21

|x-5|=8

1)x-5=8

 x=13

2)x-5=-8

  x=-3

Answer 2

To solve the absolute value equation $|21x-5| = 168$, we need to consider two cases: one where the expression inside the absolute value is positive and one where it is negative. This is because the absolute value of a number is its distance from zero and can be either positive or negative.

Case 1: $21x - 5$ is positive, so $21x - 5 = 168$

Step 1: Add 5 to both sides of the equation: $21x = 168 + 5$ $21x = 173$

Step 2: Divide both sides by 21 to isolate $x$: $x = \frac{173}{21}$

Case 2: $21x - 5$ is negative, so $21x - 5 = -168$

Step 1: Add 5 to both sides of the equation: $21x = -168 + 5$ $21x = -163$

Step 2: Divide both sides by 21 to isolate $x$: $x = \frac{-163}{21}$

So the solutions to the equation are: $x = \frac{173}{21}$ and $x = \frac{-163}{21}$.