Question

The number of solutions of the equation $\sin x=x^2+x+1$ is

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

The correct option is A $0$

Let $f\left(x\right)=\sin x$ and $g\left(x\right)=x^2+x+1$
It is clear from graph that f and g never intersect, hence there is no solution.