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Q.

Let  α,β be two distinct solutions of the equation [x2]3{x+1}+2=0, where [x] and {x}  denotes G.I.F. and F.P.F. respectively. Then the quadratic equation with roots αβ  and βα is  

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a

6x2+13x+6=0

b

6x213x+6=0

c

2x25x+2=0

d

2x2+5x+2=0

answer is A.

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Detailed Solution

[x2]+2=3{x}<3

[x2]=0x(1,1)  and  {x}=23 x=1+23  or 23

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