If the equation (a−2)(x−[x])2+2(x−[x])+a2=0,a∈R has no integra – InterviewSolution

1.	If the equation (a−2)(x−[x])2+2(x−[x])+a2=0,a∈R has no integral solution and has exactly one solution in [2,3), then a lies in the interval(where [x] denotes the greatest integer function)
Answer» If the equation $(a - 2) (x - [x])^{2} + 2 (x - [x]) + a^{2} = 0, a \in R$ has no integral solution and has exactly one solution in $[2, 3)$ , then $a$ lies in the interval (where $[x]$ denotes the greatest integer function)

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