Question

Решите уравнение (2-x)^2-x(x+8)=6

Answer 1

(2-x)²-x(x+8)=6

4+x²-4x-x²-8x=6

4x+8x=4-6

12x=-2

x=-2/12=-1/6

Answer 2

(2-х)^2-х(х+8)=6
x^2-4x+4-x^2-8x=6. Если,что я тут сократила х^2 и -х^2
-12x=6
x=-1/2

Answer 3

To solve the equation, let's first simplify and expand it:

(2 - x)^2 - x(x + 8) = 6

Expanding (2 - x)^2: (2 - x)(2 - x) = 4 - 2x - 2x + x^2 = 4 - 4x + x^2

Expanding -x(x + 8):

• x^2 - 8x

Now, the equation becomes: 4 - 4x + x^2 - x^2 - 8x = 6

Simplify and combine like terms: 4 - 12x = 6

Now, isolate the variable: -12x = 6 - 4 -12x = 2

Finally, solve for x: x = 2 / -12 x = -1/6

So the solution to the equation is x = -1/6.