frac{3}{2 x+2}+frac{4}{x^{2}-1}=frac{3 x}{2(x-1)^{2}}

Question

Accepted Answer

Step:1 ：Given the rational equation (frac{3}{2 x+2}+frac{4}{x^{2}-1}=frac{3 x}{2(x-1)^{2}})Step:2 ：To solve it, we need to find a common denominator for all the fractions. The common denominator would be the product of all the different denominators.Step:3 ：After finding the common denominator, we multiply each term by the common denominator to get rid of the fractions.Step:4 ：Then we simplify the equation and solve for x, which gives us the equation (frac{3x}{2(x-1)^{2}} = frac{3x + 5}{2(x^{2} - 1)})Step:5 ：Solving this equation gives us the solution x = -5Step:6 ：Final Answer: The solution to the equation is (boxed{-5})

Answer

Step: 1 ：Given the rational equation (frac{3}{2 x+2}+frac{4}{x^{2}-1}=frac{3 x}{2(x-1)^{2}})Step: 2 ：To solve it, we need to find a common denominator for all the fractions. The common denominator would be the product of all the different denominators.Step: 3 ：After finding the common denominator, we multiply each term by the common denominator to get rid of the fractions.Step: 4 ：Then we simplify the equation and solve for x, which gives us the equation (frac{3x}{2(x-1)^{2}} = frac{3x + 5}{2(x^{2} - 1)})Step: 5 ：Solving this equation gives us the solution x = -5Step: 6 ：Final Answer: The solution to the equation is (boxed{-5})

$\frac{3}{2 x + 2} + \frac{4}{x^{2} - 1} = \frac{3 x}{2 (x - 1)^{2}}$

Answer

Popular Problems

32x+2+4x2−1=3x2(x−1)2

Answer

Popular Problems

$\frac{3}{2 x + 2} + \frac{4}{x^{2} - 1} = \frac{3 x}{2 (x - 1)^{2}}$