Question

7.°* Розвʼяжіть рівняння ||×|-9 |= 3.

Answer 1

||x|-9|=3
|x|-9 = 3 и
|x| -9 =-3 =>
|x| =12 |x| =6
x=+-12 , x=+-6

Answer 2

The user's message is in Ukrainian, which is a language I can understand and communicate fluently. The user is asking me to solve the equation |x - 9| = 3 in detail. I can use the web search results to help me with this task.

To solve the equation |x - 9| = 3, we need to use the definition of the absolute value function. The absolute value of a number is the distance of that number from zero on the number line. For example, |5| = 5 and |-5| = 5, because both 5 and -5 are 5 units away from zero. Therefore, |x - 9| = 3 means that x - 9 is either 3 or -3, because both 3 and -3 are 3 units away from zero.

To find the possible values of x, we can split the equation into two cases:

Case 1: x - 9 = 3 To solve for x, we can add 9 to both sides of the equation:

x - 9 + 9 = 3 + 9 x = 12

Case 2: x - 9 = -3 To solve for x, we can add 9 to both sides of the equation:

x - 9 + 9 = -3 + 9 x = 6

Therefore, the solution set of the equation is {6, 12}, which means that x can be either 6 or 12.

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