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The number of real solutions of the equa...

The number of real solutions of the equation `e^x=x` is

A

1

B

2

C

0

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
It is evident from the graphs of y=`e^(x)` and y=x (see Fig.1) that they do not intersect. Hence, the equation `e^(x)`=x has no solution.
ALITER We observe that
`e^(x) gt x` for all `x in R`
`:. E^(x)=x` has no solution.
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