Question

solve for x (in terms of a&b)
a/x-b+b/x-a=2,x is not equal to a, b​
please let me know fast

Answer 1

Step-by-step explanation:

=> a / (x-b) + b / (x-a) = 2

=> a(x-a) + b(x-b) = 2(x-a) ( x-b)

=>ax+bx-a²-b² = 2x²-2bx-2ax+2ab

=> -a²-b² = 2x²-3(a+b)x +2ab

=> 2x²-3(a+b)x+(a+b)²=0

=> 2x²-2(a+b)x-(a+b)x+(a+b)²= 0

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

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

therefore x= a+b

x= (a+b)/2

hope this helps you