Problem

Problem

The quadratic equation whose roots are the minimum value of sin⁡2θ−sin⁡θ+12\sin^2 \theta - \sin \theta + \frac{1}{2} and lim⁡x→∞(x+1)(x+2)−x\lim_{x \to \infty} \sqrt{(x+1)(x+2)} - x is a. 3x2−7x+3=03x^2 - 7x + 3 = 0 b. 8x2−14x+3=08x^2 - 14x + 3 = 0 c. x2−7x+3=0x^2 - 7x + 3 = 0 d. 2x2−7x+3=02x^2 - 7x + 3 = 0

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