The number of solutions of the equation $x^{2} - 4 - [x] = 0$ is:
where $[.]$ denotes GIF.

1

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3

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2

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Solution

The correct option is D $2$
Given: $x^{2} - 4 - [x] = 0$
$\Rightarrow x^{2} - 4 = [x] = y$ (say)

From the graph, it is seen that both the graphs intersect at $2$ points.
Hence, there will be $2$ solutions of the equation.

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