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(a) By solving Eq. (9) numerically, show that the real p

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(a) By solving Eq. (9) numerically, show that the real part of the complex roots changes sign when r ? 24.737. (b) Show

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(a) By solving Eq. (9) numerically, show that the real part of the complex roots changes sign when r ? 24.737. (b) Show that a cubic polynomial x3 + Ax2 + Bx + C has one real zero and two pure imaginary zeros only if AB = C. (c) By applying the result of part (b) to Eq. (9), show that the real part of the complex roots changes sign when r = 470 19 .

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