First slide

Functions (XII)

Question

Total number of solutions of the equation $x^{2} - 4 - [x] = 0$ are (Where [.] denotes the greatest integer function)

Moderate

A

1
B

2
C

3
D

4

Solution

From the graphs of $y = x^{2} - 4$ and $y = [x]$ , we have two points of intersections
i.e., two solutions in (-2,-1) and (2,3)

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