Official Solution
Given:
- •The function [z]
•\([z^2] = 2\)
To find : Can[z] be {2, 1,-2}?
Approach :
- •To find which values of [z] are possible and which are not, we need to first know the range of possible values of z. Once we know what z can be, we’ll be able to find what [z] can be.
We’ll get an idea of the possible values of z from the fact that\([z^2] = 2\)
Working Out
- •\([z^2] = 2\)
•This means the least integer that is greater than or equal to\(z^2\) is 2.
•We can write:\(1 < z^2 ≤ 2\)
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