Question: Let a, b, c C and let p(x) = ax2 + bx + c. The value = b 2 4ac is called the discriminant of

Let a, b, c C and let p(x) = ax2 + bx + c. The value = b 2 4ac is called the discriminant of p. Prove the following propositions: If = 0, then p has one root, If = 0, then p has two roots. Assume further that a, b, c R, prove that: If > 0, then both roots are real numbers, If < 0, then both roots are complex numbers and each of which is the complex conjugate of the other

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