Find the
value
[12.9] and [13]
of
where [ ] represents greatest
integer function.
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Answer:
11th
Maths
Relations and Functions
Some Functions and their Graphs
Let [ ] represents the grea...
MATHS
Let [ ] represents the greatest integer function and [x
3
+x
2
+1+x]=[x
3
+x
2
+1]+x. The number of solution(s) of the equation in ∣[x]∣=2−∣[x]∣ is
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ANSWER
Given that,
[x
3
+x
2
+1+x]=[x
3
+x
2
+1]+x
Possible when x
3
+x
2
+1 and x are in sequence .
no. of solution of the equation.
∣[x]∣=2−∣[x]∣
2∣[x]∣=2
∣[x]∣=1
[x]=±1
[x]=1[x]=−1
Therefore,
Number of solution =2
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