Question

Решите уравнение : 1) |х|=3,2 2) |х|=-2

Answer 1

Пошаговое объяснение:

х=3,2

х=-2

х=3,2-2

х=1,2

Answer 2

1. |x| = 3.2

To solve this equation, you'll have two cases:

Case 1: x is positive or zero. In this case, |x| is equal to x itself because the absolute value of a non-negative number is itself. So, you can write the equation as:

x = 3.2

Case 2: x is negative. In this case, |x| is equal to the negation of x, so you can write the equation as:

-x = 3.2

Now, solve for x:

-x = 3.2

Multiply both sides by -1 to isolate x:

x = -3.2

So, the solutions to the equation |x| = 3.2 are x = 3.2 and x = -3.2.

2. |x| = -2

In this case, you'll encounter a problem because the absolute value of any real number is always non-negative (greater than or equal to zero), so there are no real solutions to this equation. It has no solutions in the real number system because the absolute value of a number can never be negative.

So, the equation |x| = -2 has no real solutions.