solve a/x-b +b/x-a =2 where x is not equal to a,b

Asked by ajayrath7 | 23rd Apr, 2019, 12:41: PM

Expert Answer:

begin mathsize 16px style fraction numerator straight a over denominator straight x minus straight b end fraction plus fraction numerator straight b over denominator straight x minus straight a end fraction equals 2
straight a left parenthesis straight x minus straight a right parenthesis plus straight b left parenthesis straight x minus straight b right parenthesis equals 2 left parenthesis straight x minus straight a right parenthesis left parenthesis straight x minus straight b right parenthesis
ax minus straight a squared plus bx minus straight b squared equals 2 left parenthesis straight x squared minus ax minus bx plus ab right parenthesis
straight a straight x minus straight a squared plus bx minus straight b squared equals 2 straight x squared minus 2 ax minus 2 bx plus 2 ab
Simplifying space we space get
2 straight x squared minus 3 left parenthesis straight a plus straight b right parenthesis straight x plus left parenthesis straight a plus straight b right parenthesis squared equals 0
Using space formula space we space get space straight x equals straight a plus straight b space or space fraction numerator straight a plus straight b over denominator 2 end fraction

end style

Answered by Sneha shidid | 23rd Apr, 2019, 05:31: PM