Question

Х+3/х+1-х+1/1-х=4/х^2-1

Answer 1

=> x+2/x-1+x-1/x+2 => 4x+1/2x-1x => 6x=1 => x=1/6 +> 0,16

Answer 2

To solve the given equation, we need to find the value(s) of x that satisfy the equation. Let's start by simplifying and solving the equation step by step:

1. Combine the fractions on the left-hand side: (Х + 3)/(х + 1) - (х + 1)/(1 - х) = 4/(х^2 - 1)

2. Find a common denominator for the two fractions on the left-hand side: The common denominator is (х + 1)(1 - х).

3. Rewrite the fractions with the common denominator: [(х + 3)(1 - х) - (х + 1)(х + 1)] / [(х + 1)(1 - х)] = 4 / (х^2 - 1)

4. Expand the numerator: (х + 3 - х^2 - 3х - 1) / [(х + 1)(1 - х)] = 4 / (х^2 - 1)

5. Combine like terms: (-х^2 - 2х + 2) / [(х + 1)(1 - х)] = 4 / (х^2 - 1)

6. Now, find a common denominator for both sides of the equation: The common denominator is (х^2 - 1)(х + 1)(1 - х).

7. Rewrite the equation with the common denominator: (-х^2 - 2х + 2) * (х^2 - 1)(х + 1)(1 - х) = 4 * (х + 1)(1 - х)

8. Expand and simplify: (-х^4 + х^3 + 4х^2 - 4х - 2х^2 + 2) = 4(1 - х^2)

9. Combine like terms and move all terms to one side of the equation: -х^4 + х^3 + 2х^2 - 4х + 2 - 4 + 4х^2 = 0

10. Simplify further: -х^4 + х^3 + 6х^2 - 4х - 2 = 0

At this point, we have a quartic equation (an equation with the highest power of x being 4). Solving quartic equations can be complex and may require advanced techniques. Unfortunately, I can't provide a specific solution for x without more information or context.

If you have a specific value of x in mind or if there's more to the equation that could help narrow down the solution, please provide additional details, and I'll do my best to assist you further.