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How can the golden ratio be expressed as a geometric mean?

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schooledmom | Salutatorian

Posted September 22, 2013 at 2:26 PM via web

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How can the golden ratio be expressed as a geometric mean?

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baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted September 22, 2013 at 3:07 PM (Answer #1)

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Given a length of segment divided into 2 parts, a and b.

The golden ration is the ratio of:

`(a+b)/a = a/b =phi`

``phi is the ratio of the segment when divided in this special way.

The equation has as its unique positive solution the algebraic irrational number:

`phi = (1+sqrt(5))/2 = 1.61803397887...`

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