Problem

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

Solution

Step 1 :Given the equation \(\frac{x}{(x+2)(x-2)}+\frac{4}{x-2}=\frac{3}{x+2}\)

Step 2 :First, we eliminate the fractions by multiplying each term by the common denominator, which is \((x+2)(x-2)\)

Step 3 :After simplifying, we get the equation \(\frac{3}{x + 2} = \frac{5x + 8}{x^2 - 4}\)

Step 4 :Solving this equation, we find that the solution is \(x = -7\)

Step 5 :This means that when \(x = -7\), the equation holds true

Step 6 :Final Answer: The solution to the equation is \(\boxed{-7}\)

From Solvely APP
Source: https://solvelyapp.com/problems/45932/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download