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Graphical Representation of a Quadratic Equation

The number of...

Question

The number of real roots of equation ${log}_{e} x + e x = 0$ is

A

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B

1

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C

2

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D

3

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Solution

The correct option is D $1$
We have, ${log}_{e} x + e x = 0$
$\Rightarrow {log}_{e} x = - e x$
Since, both the graphs intersect at only one point
Hence, the number of real roots of equation is one

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Graphical Representation of a Quadratic Equation

Standard X Mathematics

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