Question One Solve the equation x 4 4x 3 34x 2 hx k 0, and determine h and k given that the roots form an arithmetic progression Question Two Transform x 3 6x 2 4x 7 0 to obtain an equation in which the quadratic term is not present Describe how you would accomplish this with an arbitrary nth degree equation

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Question: Question One : Solve the equation x 4 + 4x 3 - 34x 2 + hx + k = 0, and determine h and k

Question One: Solve the equation x⁴ + 4x³ - 34x² + hx + k = 0, and determine h and k given that the roots form an arithmetic progression.

Question Two: Transform x³ - 6x² + 4x - 7 = 0 to obtain an equation in which the quadratic term is not present. Describe how you would accomplish this with an arbitrary nth degree equation.

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