Question

6) 2 (x-2) + x (x - 2) = 0;​

Answer 1

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Answer 2

Ответ:

x1 = - 2 ; x2 = 2

Объяснение:

2x-4+x2-2x=0

-4+x2=0

x2=4

Answer 3

Let's solve the given equation step by step:

2(x - 2) + x(x - 2) = 0

First, let's distribute the terms:

2x - 4 + x^2 - 2x = 0

Simplifying the equation:

x^2 - 4 = 0

Now, we can factor the quadratic equation:

(x - 2)(x + 2) = 0

Setting each factor equal to zero:

x - 2 = 0 or x + 2 = 0

Solving each equation separately:

x - 2 = 0 x = 2

x + 2 = 0 x = -2

Therefore, the solutions to the equation 2(x - 2) + x(x - 2) = 0 are x = 2 and x = -2.