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Q.

Total number of solutions of the equation x2−4−[x]=0  are  (Where [.] denotes the greatest integer function)

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a

4

b

2

c

3

d

1

answer is B.

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Detailed Solution

From the graphs of y=x2−4  and y=[x] , we have two points of intersections

i.e., two solutions in (-2,-1) and (2,3)

 

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Total number of solutions of the equation x2−4−[x]=0  are  (Where [.] denotes the greatest integer function)