Question

a/x-b + b/x-a = a+b
solve the answer of X

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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanaition:

Given  

 Given equation is

ax−b+bx−a=2

⇒ax−b+bx−a=1+1

⇒ax−b−1+bx−a=1+1

⇒ax−b−1+bx−a−1=0

⇒a−x+bx−b+b−x+ax−a=0

⇒(a+b−x)(1x−b+1x−a)=0

⇒a+b−x=0or1x−b+1x−a=0

when a+b−x=0⇒x=a+b

and when 1x−b+1x−a=0⇒x−a+a−b(x−b)(x−a)=0

⇒2x−a−b=0

⇒2x=a+b

⇒x=a+b2

Hence, x=a+bandx=a+b2 are roots of the equaton.

Alternatively,

⇒1x−b=−1a−xx−b=a−x  

2x=a+b

x=a+b2