Question

X^2-6=(x-2)(x-2)-8x?

Answer 1

Х2-6=(х-2)(х-2)-8х
х2-6=х2-4х+4-8х
12х=10
х=10/12=5/6
Но мне ответ что-то не нравится..

Answer 2

To determine if the equation $x^2 - 6 = (x-2)(x-2) - 8x$ is true, we can simplify both sides and see if they are equal:

Starting with the left-hand side (LHS):

$x^2 - 6$

Now, let's simplify the right-hand side (RHS):

$(x-2)(x-2) - 8x$

Using the distributive property, we can expand $(x-2)(x-2)$:

$x^2 - 2x - 2x + 4 - 8x$

Now, combine like terms:

$x^2 - 4x + 4 - 8x$

Simplify further by combining the like terms (-4x and -8x):

$x^2 - 12x + 4$

So, the simplified equation on the RHS is $x^2 - 12x + 4$.

Now, let's compare the simplified LHS and RHS:

LHS: $x^2 - 6$ RHS: $x^2 - 12x + 4$

The equation is not true as the LHS and RHS are not equal. Therefore, $x^2 - 6 = (x-2)(x-2) - 8x$ is not a valid equation.