Question

(x + 1)/(x - 1) + (x - 1)/(x + 1) = 10/3​

Answer 1

Ответ:

=X-10/(x-1)

Объяснение: баняня

Answer 2

To solve the equation, let's start by finding a common denominator for the two fractions on the left-hand side:

(x + 1)/(x - 1) + (x - 1)/(x + 1) = [(x + 1)(x + 1) + (x - 1)(x - 1)] / [(x - 1)(x + 1)]

Expanding the numerators, we get:

[(x^2 + 2x + 1) + (x^2 - 2x + 1)] / [(x - 1)(x + 1)] = (2x^2 + 2) / [(x - 1)(x + 1)]

Now we can rewrite the equation as:

(2x^2 + 2) / [(x - 1)(x + 1)] = 10/3

Next, we can cross-multiply:

3(2x^2 + 2) = 10(x - 1)(x + 1)

Simplifying further:

6x^2 + 6 = 10(x^2 - 1)

Expanding:

6x^2 + 6 = 10x^2 - 10

Rearranging terms:

4x^2 = 16

Dividing by 4:

x^2 = 4

Taking the square root of both sides:

x = ±2

Therefore, the solution to the equation is x = 2 or x = -2.