Question

Модуль4-9х дорівнює 22

Answer 1

|4-9x|=22
4-9x=22
9x=22-4
9x=18
x=18:9
x=2

Answer 2

To solve the equation, "Модуль4-9х дорівнює 22", you need to find the value of "х" that satisfies the equation.

The equation can be written as:

|4 - 9х| = 22

To solve for "х," you need to consider two cases:

Case 1: (4 - 9х) = 22 In this case, you remove the absolute value bars, and the equation becomes:

4 - 9х = 22

Now, isolate "х" on one side of the equation:

Subtract 4 from both sides:

• 9х = 22 - 4
• 9х = 18

Now, divide both sides by -9 to solve for "х": х = 18 / -9 х = -2

Case 2: -(4 - 9х) = 22 In this case, you remove the absolute value bars and negate the entire expression inside the absolute value:

-(4 - 9х) = 22

Now, isolate "х" on one side of the equation:

Distribute the negative sign: -4 + 9х = 22

Next, add 4 to both sides: 9х = 22 + 4 9х = 26

Finally, divide both sides by 9 to solve for "х": х = 26 / 9

Therefore, the two possible solutions for "х" are: -2 and 26/9.