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A mechanical engineering student would like to solve the equation below: (E):z 2 + 2Xz 2X + 15 = 0, where X is a uniformly

A mechanical engineering student would like to solve the equation below: (E):z 2 + 2Xz 2X + 15 = 0, where X is a uniformly distributed random number over [0, 4].

What is the probability that this equation (E) has complex roots?

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