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Suppose a and b are two real numbers such that the roots of the cubic equation a^3 - x^2 + bx – 1 = 0

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Suppose a and b are two real numbers such that the roots of the cubic equation a3 - x2 + bx – 1 = 0 are all positive real numbers. Prove that 

 (i) 0 < 3ab ≤ 1 

 (ii) b ≥ √3

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