Question

Номер 864 Является ли число -8/11 корнем кравнение 6) |х-1| =3/11

Answer 1

Ответ:

Нет

Т.к. |-8/11 -1| = | -(1+8/11)| = 1 8/11 <> 3/11

Пошаговое объяснение:

|х-1| =3/11

х₁-1 = 3/11

x₁ = 1 3/11

х₂-1 = -3/11

x₂ = 1 - 3/11 = 8/11

Answer 2

To check if the number -8/11 is a solution to the equation 6) |x-1| = 3/11, we simply substitute -8/11 for x and see if the equation holds true.

Let's do the substitution:

|x - 1| = 3/11

When x = -8/11:

|(-8/11) - 1| = 3/11

|-8/11 - 11/11| = 3/11

|(-8 - 11)/11| = 3/11

|(-19)/11| = 3/11

Now, the absolute value of -19/11 is the positive value of -19/11:

|(-19)/11| = 19/11

So, we have:

19/11 = 3/11

Since 19/11 is not equal to 3/11, the equation is not satisfied when x = -8/11. Therefore, -8/11 is not a solution to the equation 6) |x-1| = 3/11.