Question

Упростите выражения (6/y-6/x) *xy/x^2-2xy+y^2. при значении ч=корень из 5 +1 , y= корень из 5 -1 Помогите срочно пожалуйста 25 баллов!!!!!

Answer 1

(6/y - 6/x) * xy / x^2 - 2xy + y^2 = (6x - 6y)/(x - y)^2 = 6/(x-y)
При х = v5 + 1 ; y = v5 -1

6/ v5 + 1 - (v5 - 1) = 6 / v5 + 1 - v5 + 1 = 6/2 = 3.

Ответ: 3

Answer 2

Simplifying the Expression

To simplify the given expression (6/y - 6/x) * xy / (x^2 - 2xy + y^2) at y = √5 + 1 and y = √5 - 1, we can follow these steps:

First, let's substitute the given values of y into the expression and simplify it step by step.

Substituting y = √5 + 1

Substituting y = √5 + 1 into the expression: (6/(√5 + 1) - 6/x) * x(√5 + 1) / (x^2 - 2x(√5 + 1) + (√5 + 1)^2)

Substituting y = √5 - 1

Substituting y = √5 - 1 into the expression: (6/(√5 - 1) - 6/x) * x(√5 - 1) / (x^2 - 2x(√5 - 1) + (√5 - 1)^2)

Let's calculate the simplified expressions for both values of y.