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Question

If x=2aba+b then find the value of x+ax-a+a+ba-b.

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Solution

We have:x=2aba+b xa=2ba+b , xb=2aa+b ...(i) Now, we have to find the value of x+ax-a+x+bx-b.On applying componendo & dividendo, we get:x+a+x-ax+a-x+a+x+b+x-bx+b-x+b=2x2a+2x2b=xa+xbFrom (i), we get:2ba+b+2aa+b=2b+aa+b= 2

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