Question

The equation $\sin x=x^2+x+1$ has

• A. one root
• B. no real root
• C. An infinite number of roots
• D. None of these

Answer 1

The correct option is B

no real root

Check from the graph of the function.

Given equation is $\sin x=x^2+x+1$

Let $y=\sin \left(x\right)$

In the given figure, the curve has no intersection point.

So, it has no solution.

Hence, option $\left(B\right)$ is correct.