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Question

if (1+x2+x41+x+x2)=ax+b, then :(a,b)

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Solution

1+x2+x41+x+x2=ax+b
1+2x2+x4x21+x+x2=ax+b
(1+x2)2x21+x+x2=ax+b
(1+x2+x)(1+x2x)1+x+x2=ax+b
1+x2x=ax+b
Equating we get,a=2,b=1
(a,b)=(2,1)

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