Question

|x-5| =0 |3x-1|=0 |7x-2|=0 |5x-4|=0 |10x-1|=0

Answer 1

-5

-1/3

-2/7

-4/5

-1/10

Модуль делает все числа положительными и потом просто переносим известное значение в левую часть ур-ния с изменением знака

Answer 2

To solve each equation, we need to find the values of x that make the absolute value or linear expression equal to zero.

For the equation |x-5| = 0: In this case, the absolute value of x-5 equals zero when x-5 equals zero. Solving for x, we get: x - 5 = 0 x = 5

So the solution to |x-5| = 0 is x = 5.

For the equation |3x-1| = 0: Similar to the previous equation, the absolute value of 3x-1 equals zero when 3x-1 equals zero. Solving for x: 3x - 1 = 0 3x = 1 x = 1/3

The solution to |3x-1| = 0 is x = 1/3.

For the equation |7x-2| = 0: Following the same pattern, we have: 7x - 2 = 0 7x = 2 x = 2/7

The solution to |7x-2| = 0 is x = 2/7.

For the equation |5x-4| = 0: Applying the method once again, we find: 5x - 4 = 0 5x = 4 x = 4/5

The solution to |5x-4| = 0 is x = 4/5.

For the equation |10x-1| = 0: Using the same approach, we have: 10x - 1 = 0 10x = 1 x = 1/10

The solution to |10x-1| = 0 is x = 1/10.

To summarize: |x-5| = 0 has the solution x = 5. |3x-1| = 0 has the solution x = 1/3. |7x-2| = 0 has the solution x = 2/7. |5x-4| = 0 has the solution x = 4/5. |10x-1| = 0 has the solution x = 1/10.