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Let f(x)= x +2 2 x +1 . If different integral values of [f^ (x) ] are the roots of the equation 3 x^2-2(k+1) x+ =0 then find the value of (2 k+ ) , INote: [y] and y denote grentest integer function and fractional part function of y respectively.]

Correct answer

13

Step-by-step solution

f(x) (1,2] array rlrl & [f(x)] & =1,2 & 2(k+1) 3 & =3 k= 7 2 and 3 =2 =6 2 k+ & =13 array

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