Question

(X) + 3.2 = 8 (х ЭТО модуль

Answer 1

Ответ:

-4,8 и 4,8

Пошаговое объяснение:

|x| = 8 - 3,2

|x| = 4,8

x₁ = -4,8

x₂ = 4,8

Answer 2

If I understand correctly, you want to solve the equation |X| + 3.2 = 8, where |X| represents the absolute value of X. To find the value of X, we need to consider two cases based on the definition of absolute value:

1. If X is positive or zero (X ≥ 0): |X| = X.
2. If X is negative (X < 0): |X| = -X.

Let's solve the equation step-by-step for each case:

Case 1: X ≥ 0 (X is positive or zero)

|X| + 3.2 = 8

Since |X| = X when X ≥ 0:

X + 3.2 = 8

Subtract 3.2 from both sides to isolate X:

X = 8 - 3.2

X = 4.8

Case 2: X < 0 (X is negative)

|X| + 3.2 = 8

Since |X| = -X when X < 0:

-X + 3.2 = 8

Subtract 3.2 from both sides to isolate -X:

-X = 8 - 3.2

-X = 4.8

Now, to solve for X, we need to multiply both sides by -1:

X = -4.8

So, the two solutions for the equation |X| + 3.2 = 8 are X = 4.8 and X = -4.8.