Question

(x-4)^{2}-6=(2+x)^{2}

Answer 1

x² - 8x + 16 - 6 = 4 + 4x + x²

-8x + 16 - 6 = 4 + 4x

-8x + 10 = 4 + 4x

-8 - 4x = 4 - 10

-12x = -6

x = 1_2 (дробь)

Answer 2

(х-4)×2-6=(2+х)×2
2х-8-6=4+2х
Пример невозможно решить т.к у нас полностью пропадает Х, а без него остаётся 18
Значит ответ либо НЕВОЗМОЖНО, либо 18, но скорее всего ответ 18

Answer 3

Let's solve the given equation step by step:

1. Expand both sides of the equation to get rid of the squared terms: For the left side, we have: (x - 4)^2 - 6 = (x - 4)(x - 4) - 6 = x^2 - 8x + 16 - 6 = x^2 - 8x + 10 For the right side, we have: (2 + x)^2 = (2 + x)(2 + x) = x^2 + 4x + 4

2. Substitute the expanded expressions back into the equation: x^2 - 8x + 10 = x^2 + 4x + 4

3. Move all terms to one side of the equation: x^2 - x^2 - 8x - 4x + 10 - 4 = 0

4. Combine like terms: -12x + 6 = 0

5. Now, isolate the variable x by moving the constant term to the other side: -12x = -6

6. Finally, solve for x by dividing both sides by -12: x = -6 / -12 x = 0.5

So, the solution to the equation is x = 0.5. You can verify this by substituting x with 0.5 in the original equation to see if both sides are equal.