Question

a/x-a + b/x-b =2 find out the value of x​

Answer 1

Answer: x=a+b or x=(a+b)/2 is the solution

Step-by-step explanation:

Given: a/x-a + b/x-b =2

We have to find the x value

$\frac{a(x-a)+b(x-b)}{(x-b)(x-a)}$

a(x-a)+b(x-b)=2(x^2-(a+b)x+ab)

ax-a^2+bx-b^2=2x^2-2(a+b)x+2ab

2x^2-3(a+b)x+(a+b)^2=0

2x^2-2(a+b)x-(a+b)x+(a+b)^2=0

[2x-(a+b)][x-(a+b)]=0

x=a+b or x=(a+b)/2

x=a+b or x=(a+b)/2 is the solution