Question

a/(x-b)+b/(x-a)=2,x is not =a, b
find x

Answer 1

(2a+b)/2  or  (a+b)/2  

Step-by-step explanation: by taking lcm

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

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

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

rearrange the order

3x(a+b)=2x^2+a^2+b^2+2ab

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

by simplifing we get

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