Abhishek Singh
Last Activity: 3 Years ago
Clearly x-[x] = {x} where {x} is the fractional part function. Now the given equation is quadratic in {x}
-3{x}^2+2{x}+a^2 = 0
We know that if {x} = 0 ==> x is an integer
Thus the solution has integer solution if {x}= 0 satifies the equation ==> if -3*0^2+2*0+a^2 = 0 ==> if a= 0
But it is given equation has no integral solution ==> a is not equal to zero
