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If f(x)=ax^2+bx+c and f(x+1) =f(x)+x+1 i...

If `f(x)=ax^2+bx+c and f(x+1) =f(x)+x+1` is an identify, find the values of a and b.

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The correct Answer is:
`a=(1)/(2),b=(1)/(2)`
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