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Find the number of solutions of the equa...

Find the number of solutions of the equation `sinx=x^2+x+1.`

Text Solution

Verified by Experts

The correct Answer is:
No solution
Let `f(x)= sin x` and `g(x)=x^(2) +x+1=(x+1/2)^(2)+3/4`, which could be graphicaly represented as follows :

As these two graphs do not intersect at any point, the given equation has no solution.
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