The number of real roots of the equation ${e}^{4x}+{e}^{3x}-4{e}^{2x}+{e}^{x}+1=0$ is :

[JEE Main 2020, 9 Jan (Shift 1)]

Question

The number of real roots of the equation ${e}^{4x}+{e}^{3x}-4{e}^{2x}+{e}^{x}+1=0$ is : [JEE Main 2020, 9 Jan (Shift 1)]

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The number of real roots of the equation \({e}^{4x}+{e}^{3x}-4{e}^{2x}+{e}^{x}+1=0\) is : [JEE Main 2020, 9 Jan (Shift 1…