The number of real roots of the equation ${\tan }^{-1}\sqrt{x(x+1)}+{\sin }^{-1}\sqrt{{x}^{2}+x+1}=\frac{\pi }{4}$ is :

[JEE Main 2021, 20 Jul (Shift 1)]

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The number of real roots of the equation ${\tan }^{-1}\sqrt{x(x+1)}+{\sin }^{-1}\sqrt{{x}^{2}+x+1}=\frac{\pi }{4}$ is : [JEE Main 2021, 20 Jul (Shift 1)]

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The number of real roots of the equation \({\tan }^{-1}\sqrt{x(x+1)}+{\sin }^{-1}\sqrt{{x}^{2}+x+1}=\frac{\pi }{4}\) is …

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