Question

Найдите значение переменной при которых не имеет смысла выражение 2х-6/x+2 равно 0 сделаете проверку

Answer 1

Х+2
×+4-2
×=2
~~~~~~~~
4-2=4

Answer 2

Не имеет смысла при х=0

теперь посмотрим.
умножим на х

2х²+2х-6 =0     х²+х-3=0  
х=0 - не корень.  0+0-3=-3≠0   выходит х=0 не меняет решения и таких х нет.

Answer 3

Finding the Meaning of the Variable

To find the values of the variable for which the expression 2x-6/x+2 equals 0, we can set up the equation and solve for x. The expression 2x-6/x+2 equals 0 when the numerator (2x-6) equals 0, and the denominator (x+2) does not equal 0. Therefore, the variable x cannot be equal to -2, as division by 0 is undefined.

Verification

Let's verify this by solving the equation 2x-6 = 0:

2x - 6 = 0 2x = 6 x = 3

Now, let's check the value of x = -2:

2(-2) - 6 / (-2) + 2 = -4 - 6 / -2 + 2 = -10 / 0

As expected, when x = -2, the expression becomes undefined due to division by 0.

Therefore, the variable x cannot be equal to -2 for the expression 2x-6/x+2 to be defined and equal to 0.