Question

5x-4/x^2-1=x^2/x^2-1

Answer 1

Ответ:

ыдвлуьшуткшкталатащаошатагаочлчллвоововлвлвлвлвбввлвадалаашппдпш37378292 x 383838

Объяснение:ающалщлщадщаддабдалдаьдабжаюзад

Answer 2

To solve the equation (5x - 4) / (x^2 - 1) = x^2 / (x^2 - 1), you can follow these steps:

Step 1: Factor the denominators (x^2 - 1) on both sides of the equation: (x^2 - 1) is the difference of squares, so it can be factored as (x - 1)(x + 1).

The equation becomes: (5x - 4) / [(x - 1)(x + 1)] = x^2 / [(x - 1)(x + 1)]

Step 2: Cross-multiply to eliminate the fractions: (5x - 4) * (x + 1) = x^2 * (x - 1)

Step 3: Expand and simplify the equation: 5x^2 + 5x - 4x - 4 = x^3 - x^2

Step 4: Move all terms to one side of the equation to set it to zero: 5x^2 + x^2 + 5x - 4x - 4 + x^2 = 0

Step 5: Combine like terms: 7x^2 + x - 4 = 0

Now, the equation is a quadratic equation. You can solve it using factoring, completing the square, or the quadratic formula. Unfortunately, this equation doesn't have nice integer solutions, and you will need to use the quadratic formula to find the values of x:

The quadratic formula is: x = (-b ± √(b^2 - 4ac)) / 2a

For our equation, a = 7, b = 1, and c = -4.

x = (-(1) ± √((1)^2 - 4 * 7 * (-4))) / 2 * 7 x = (-1 ± √(1 + 112)) / 14 x = (-1 ± √113) / 14

So, the solutions for the equation are: x = (-1 + √113) / 14 and x = (-1 - √113) / 14