Question

|16,1-x|=19 Помогите! Хэлп!

Answer 1

Ответ:

х₁ = 7,1;  х₂ = 25,1

Пошаговое объяснение:

|16,1-x|=19

1) рассмотрим случай, когда 16,1 - х > 0

16,1 - х = 9

x = 16,1 - 9 = 7,1

2) 16,1 - х < 0

x - 16.1 = 9

x = 16.1 + 9 =25, 1

Проверка:

1) | 16,1 - 7,1 | = 16,1 - 7,1 =9

2) | 16,1 - 25,1 | = | - 9 | = 9

Ответ: х₁ = 7,1;  х₂ = 25,1

Answer 2

Solving the Equation |16,1-x|=19

To solve the equation |16,1-x|=19, we can start by isolating the absolute value expression and then solving for x.

Step 1: Isolate the Absolute Value Expression We can isolate the absolute value expression by setting up two equations: 16,1-x = 19 and 16,1-x = -19.

Step 2: Solve for x - For 16,1-x = 19: - Subtract 16,1 from both sides: -x = 19 - 16,1 - Simplify: -x = 2,9 - Multiply both sides by -1 to solve for x: x = -2,9

- For 16,1-x = -19: - Subtract 16,1 from both sides: -x = -19 - 16,1 - Simplify: -x = -35,1 - Multiply both sides by -1 to solve for x: x = 35,1

Therefore, the solutions for the equation |16,1-x|=19 are x = -2,9 and x = 35,1.