Quadratic and Trigonometry for JEE #1

Algebra Level 5

The number of integers bb that satisfy the following condition is n: n:

The equation sinx2+sinx+b=0 \mid \sin x \mid ^{2} + \mid \sin x \mid + b =0 has two distinct real roots in the interval [0, π\pi].

Find n2+n n^2 + n .

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