The solution set of the equation[n²] +[n + 1] -3 = 0 (where fl denotes greatest integer function) i
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For in for an integer , .
Or,
Given equation is,
For in , is an integer,
Since ,
Hence the solution set is .
Here is the substitution method. The main idea is the same.
Let . Then,
Since ,
Hence the solution set is .
is an integer.
The symbol stands for if and only if, which means the conditions are equivalent.
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