The number of real solution of the equation $s i n e^{x} = 5^{x} + 5^{- x}$ is ?

0

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1

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2

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infinitely many

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Solution

The correct option is A $0$
By $A M \geq G M$ inequality, the minimum value of the right side is $2$ .
Whereas, the maximum value of the left is $1$ .
Therefore, the equation has no solutions.

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