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The quadratic 2 sin²x + sin x - 1 = 0 is solved on [0, 2π]; how many roots arise?
A1
B2
C3
D4
Answer & Solution
Correct answer: C. 3
It factors as (2 sin x - 1)(sin x + 1) = 0, giving x = π/6, 5π/6 and 3π/2.
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