Question

|х-1|+4=7 ришите пожалуста

Answer 1

|x-1|+4=7или|x-1|=-7 ×-1=7-4; ×-1=-7-4 ×=3+1;×=-11+1 ×=4; ×=-10

Answer 2

=|x-1|=3
x-1=3
x=4
вроде так))

Answer 3

Solving the Equation |x-1| + 4 = 7

To solve the equation |x-1| + 4 = 7, we can follow these steps:

1. Isolate the Absolute Value Expression: - First, isolate the absolute value expression |x-1| by subtracting 4 from both sides of the equation.

2. Solve for x: - Once the absolute value expression is isolated, solve for x by considering both the positive and negative cases for |x-1|.

Solution Steps

1. Isolate the Absolute Value Expression: - |x-1| = 7 - 4 - |x-1| = 3

2. Solve for x: - Consider the positive and negative cases for |x-1|: - Case 1: x-1 = 3 - Case 2: -(x-1) = 3

3. Solve for x in Case 1: - x-1 = 3 - x = 3 + 1 - x = 4

4. Solve for x in Case 2: - -(x-1) = 3 - -x + 1 = 3 - -x = 3 - 1 - -x = 2 - x = -2

Therefore, the solutions for the equation |x-1| + 4 = 7 are x = 4 and x = -2.