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Challenge Problems: Solve equations and rewrite quadratic functions.

Solve the equation x⁴ - 18x² + 17 = 0 over complex numbers, rewrite y = x² + 4x + 5 in vertex form, and solve 0 = ax² + bx + c by completing the square.

Solve the equation x⁴ - 18x² + 17 = 0 over complex numbers, rewrite y = x² + 4x + 5 in vertex form, and solve 0 = ax² + bx + c by completing the square.

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