Question

Допоможіть будь ласка (x-3)(IxI-2)=0

Answer 1

При умножении (x-3) и (|x|-2)  получается 0. Значит множители должны равняться 0.
х-3 = 0 или |x|-2 = 0. Из первого получается х=3, а из второго 
|x|= 2. Значит х=2 или х=-2.Ответ:3;2;-2.

Answer 2

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Your message seems to be a math problem. You want me to solve it in detail and help you. Please correct me if I misunderstood.

The equation you gave is (x-3)(|x|-2)=0. This means that either x-3=0 or |x|-2=0. To solve for x, we need to consider two cases: when x is positive or negative.

Case 1: x is positive. Then |x|=x and we have:

(x-3)(x-2)=0

This equation has two solutions: x=3 or x=2. We can check that both of them satisfy the original equation.

Case 2: x is negative. Then |x|=-x and we have:

(x-3)(-x-2)=0

This equation has two solutions: x=3 or x=-2. We can check that only x=3 satisfies the original equation, while x=-2 does not.

Therefore, the final answer is x=3 or x=2.

Here is a graph of the equation that shows the solutions as the points where the curve crosses the x-axis.

I hope this helps you. If you have any questions, please ask me.

: https://www.mathway.com/graph?problem=(x-3)(%7Cx%7C-2)%3D0