Vipul: Created page with "==Definition== The '''golden ratio''' is the number: $\frac{1 + \sqrt{5}}{2}$ It is the unique positive solution to any of these equations: * $x^2 = x + 1<..."$

2014-06-02T17:16:13Z

Created page with "==Definition== The '''golden ratio''' is the number: <math>\frac{1 + \sqrt{5}}{2}</math> It is the unique positive solution to any of these equations: * <math>x^2 = x + 1<..."

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==Definition==

The '''golden ratio''' is the number:

<math>\frac{1 + \sqrt{5}}{2}</math>

It is the unique positive solution to any of these equations:

* <math>x^2 = x + 1</math>, i.e., <math>x^2 - x - 1 = 0</math>
* <math>x = \frac{1}{x} + 1</math>, i.e., <math>x - \frac{1}{x} - 1 = 0</math>

The approximate value of the golden ratio is <math>1.618</math>.

Golden ratio - Revision history

Vipul: Created page with "==Definition== The '''golden ratio''' is the number: \frac{1 + \sqrt{5}}{2} It is the unique positive solution to any of these equations: * x^2 = x + 1<..."

Vipul: Created page with "==Definition== The '''golden ratio''' is the number: $\frac{1 + \sqrt{5}}{2}$ It is the unique positive solution to any of these equations: * $x^2 = x + 1<..."$