Question

Решите уравнение 1)|3-x|=5 2)|2x-3|=0 Срочно ​

Answer 1

Ответ:

1) |3-х|=5

3-х=5

х= -2

2) |2х-3|=0

2х-3=0

2х=3

х= 3/2

Answer 2

Equation 1: |3-x| = 5

To solve the equation |3-x| = 5, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: 3-x is positive: In this case, we have 3-x = 5. Solving for x, we get: 3 - x = 5 -x = 5 - 3 -x = 2 x = -2

Case 2: 3-x is negative: In this case, we have -(3-x) = 5. Solving for x, we get: -3 + x = 5 x = 5 + 3 x = 8

Therefore, the solutions to the equation |3-x| = 5 are x = -2 and x = 8.

Equation 2: |2x-3| = 0

To solve the equation |2x-3| = 0, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: 2x-3 is positive: In this case, we have 2x-3 = 0. Solving for x, we get: 2x = 3 x = 3/2 x = 1.5

Case 2: 2x-3 is negative: In this case, we have -(2x-3) = 0. Solving for x, we get: -2x + 3 = 0 2x = 3 x = 3/2 x = 1.5

Therefore, the solution to the equation |2x-3| = 0 is x = 1.5.

In summary, the solutions to the given equations are: For |3-x| = 5: x = -2 and x = 8. For |2x-3| = 0: x = 1.5.