Question

5/(x – 1) – 3/(x + 1) = 15/(x2 – 1) Нужно срочно.

Answer 1

Ответ:

x = 3.5

Пошаговое объяснение:

используется формула

(х-1)*(х+1) = (х² -1)

$\frac{5(x+1) -3(x-1)}{x^{2} -1 } = \frac{15}{x^{2} -1}$

5(x+1) -3(x-1) = 15

2x = 7

x= 3.5

Answer 2

Solving the Rational Equation

To solve the rational equation 5/(x - 1) - 3/(x + 1) = 15/(x^2 - 1), we can follow these steps:

1. Find the Common Denominator - The common denominator for the fractions on the left side of the equation is (x - 1)(x + 1), and for the fraction on the right side, it's (x - 1)(x + 1).

2. Multiply Through by the Common Denominator - Multiply every term in the equation by the common denominator to clear the fractions.

3. Simplify and Solve - After multiplying through by the common denominator, simplify the equation and solve for the variable.

Let's proceed with solving the equation step by step.

Step 1: Find the Common Denominator

The common denominator for the fractions on the left side of the equation is (x - 1)(x + 1), and for the fraction on the right side, it's also (x - 1)(x + 1).

Step 2: Multiply Through by the Common Denominator

Multiplying every term in the equation by the common denominator, we get: 5(x + 1) - 3(x - 1) = 15

Step 3: Simplify and Solve

Expanding and simplifying the equation, we get: 5x + 5 - 3x + 3 = 15 2x + 8 = 15 2x = 15 - 8 2x = 7 x = 7/2

Conclusion

The solution to the equation 5/(x - 1) - 3/(x + 1) = 15/(x^2 - 1) is x = 7/2.