Question

І х-8І =4))))))))) ​

Answer 1

$|x-8| =4$

$\left[\begin{array}{l}x-8 =4\\x-8 =-4\end{array}$

$\left[\begin{array}{l}x =8+4\\x =8-4\end{array}$

$\left[\begin{array}{l}x =12\\x =4\end{array}$

Ответ: 4 и 12

Answer 2

The expression you provided, |x - 8| = 4, represents the absolute value of the quantity (x - 8) and is set equal to 4. To solve this equation, we can consider two cases, one where (x - 8) is positive and another where (x - 8) is negative.

Case 1: (x - 8) is positive If (x - 8) is positive, then |x - 8| is equal to (x - 8). So we can rewrite the equation as (x - 8) = 4. Solving for x in this case: x - 8 = 4 x = 4 + 8 x = 12

Case 2: (x - 8) is negative If (x - 8) is negative, then |x - 8| is equal to -(x - 8), which means we need to negate the quantity (x - 8) in the equation. So we can rewrite the equation as -(x - 8) = 4. Solving for x in this case: -(x - 8) = 4 x - 8 = -4 x = -4 + 8 x = 4

Therefore, the solutions to the equation |x - 8| = 4 are x = 12 and x = 4.