Tip:A–D to answerE for explanationV for videoS to reveal answer
If [x2]−5[x]+6=0, where [,] denotes the greatest integer function, then
- A.
x∈[3,4]
- B.
x∈[2,3]
(Correct Answer) - C.
x∈(2,3)
- D.
x∈(2,4)
Explanation
Let [x]=y.
Since y=[x]:
[x] = 2 \implies 2 \leq x < 3
[x] = 3 \implies 3 \leq x < 4
Taking the union of these two intervals:
showing the intervals [2,3) and [3,4)]
Explanation
Let [x]=y.
Since y=[x]:
[x] = 2 \implies 2 \leq x < 3
[x] = 3 \implies 3 \leq x < 4
Taking the union of these two intervals:
showing the intervals [2,3) and [3,4)]
