# Quadratic and Trigonometry for JEE #1

Algebra Level 5

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

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

Find $$n^2 + n$$.

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