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Question
Answer the following:
Solve the following for x, where |x| is modulus function, [x] is greatest interger function, {x} is a fractional part function
[x2] − 5[x] + 6 = 0
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Solution
[x2] − 5[x] + 6 = 0
∴ ([x] – 3) ([x] – 2) = 0
∴ [x] = 3 or 2
If [x] = 2 then 2 ≤ x < 3
If [x] = 3 then 3 ≤ x < 4
∴ Solution = [2, 4)
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