Correction: φ is not transcendental, it’s only irrational.
Thanks to @silvascientist for pointing this out.
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So the solution for x^2 - x - 1 = 0, is the golden ratio
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which has 1 complex 1 real root
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In fact, I am getting married on 8/13/21, Fibonacci day. Last of the century!
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φ =((5/(5+5))+(5^((5+5+5)/(5+5))/(5+5)))
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The "golden ratio" φ is the solution to the equation φ = 1 + 1/φ