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Challenge problems involving solving equations and completing the square for parabolas.

Solve x⁴ - 18x² + 17 = 0 over complex numbers, vertex form of a parabola, complete the square for y = x² + 4x + 5, solve 0 = ax² + bx + c by completing the square.

Solve x⁴ - 18x² + 17 = 0 over complex numbers, vertex form of a parabola, complete the square for y = x² + 4x + 5, solve 0 = ax² + bx + c by completing the square.

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