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The golden ratio is the positive root of which equation?
Ax² − x − 1 = 0
Bx² − x + 1 = 0
Cx² − 2x − 1 = 0
Dx² + x − 1 = 0
Answer & Solution
Correct answer: A. x² − x − 1 = 0
The golden ratio φ ≈ 1.618 satisfies φ² = φ + 1, which rearranges to x² − x − 1 = 0.
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