Question

|x|-1=3 Чому дорівнює корінь???

Answer 1

Ответ:

x1=-4, x2=4

Пошаговое объяснение:

|x|-1=3

|x|=3+1

|x|=4

x1=-4, x2=4

Answer 2

To solve the equation |x| - 1 = 3 and find the value of x, we need to isolate the absolute value term and then solve for x. Here's how we can do it step by step:

Step 1: Isolate the absolute value term

To isolate the absolute value term, we need to get rid of the -1 on the left side of the equation. We can do this by adding 1 to both sides of the equation: |x| - 1 + 1 = 3 + 1

Simplifying the equation, we get: |x| = 4

Step 2: Solve for x

To solve for x, we need to consider two cases: when x is positive and when x is negative.

Case 1: x is positive When x is positive, the absolute value of x is equal to x. So we can rewrite the equation as: x = 4

Case 2: x is negative When x is negative, the absolute value of x is equal to -x. So we can rewrite the equation as: -x = 4

To solve for x in this case, we need to multiply both sides of the equation by -1: (-1)(-x) = (-1)(4) x = -4

Therefore, the equation |x| - 1 = 3 has two solutions: x = 4 and x = -4.

Please note that the equation you provided, "Чому дорівнює корінь???", is not clear. If you are referring to the square root of a number, please provide the specific number for which you want to find the square root.