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

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

Question

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

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

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