The number of real solutions of the equation $e^{x} + x = 0$ is

0

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1

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2

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none of these

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Solution

The correct option is B $1$
It is evident from figure that the curves $y = e^{x}$ and $y = - x$ intersect exactly at one point .
So, the equation, $e^{x} = - x$ or $e^{x} + x = 0$ has one real solution.
Hence, $(b)$ is the correct answer.

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