Question

Очень срочно. расписать как найти Х ||х-2016|-9|=4

Answer 1

||х-2016|-9|=4
х-9-2016-9=4
х-9-2007=4
х-(-1998)=4
х+1998=4
х=4-1998
х=-1994

Answer 2

Solving the Equation

To solve the equation |x-2016|-9|=4, we can follow these steps:

1. Isolate the Absolute Value - First, isolate the absolute value term by adding 9 to both sides of the equation. - This gives us |x-2016|=13.

2. Set Up Two Equations - We then set up two equations based on the positive and negative cases of the absolute value. - For the positive case, we have x-2016=13. - For the negative case, we have x-2016=-13.

3. Solve for x - Solving these two equations will give us the values of x.

Solution

- For the positive case: x-2016=13 - Adding 2016 to both sides gives us x=2029.

- For the negative case: x-2016=-13 - Adding 2016 to both sides gives us x=2003.

So, the solutions to the equation |x-2016|-9|=4 are x=2029 and x=2003.