solve for x :-

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

  • 99

thanx komal bt i have got a very easy and good answer not as complicated as yours

  • -22

x-a/x-b -a/b + x-b/x-a -b/a =0

bx -ax/b(x-b)+ ax-bx/a(x-a)=0

bx-ax/b(x-b) = bx-ax/a(x-a)

1/bx-b2 = 1/ax-a2

ax-a2 = bx-b2

ax-bx=a2-b2

x=a+b

Cheers!

  • 59
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