Question

What is golden ratio?

Answer 1

`"If we have a line of length 1 we want to divide it in two pieces"`
`"such that the ratio of the smaller piece to the bigger is equal to"`
`"the ratio of the bigger piece to the complete line of length 1."`

`"So we have"`

`"|-----------x------------|----1-x-----|"`

`(1-x)/x = x/1 = x`

`=> 1-x = x^2`
`=> x^2 + x - 1 = 0`

`"This is a quadratic equation with discriminant 5."`

`=> x = (-1 pm sqrt(5))/2`

`"x is a length so is positive so we have to take the solution"`
`"with the + sign :"`

`=> x = (sqrt(5) - 1)/2 = 0.618034"`

`"Officially, the golden ratio is the ratio of the bigger piece to the"`
`"smaller and this is "(sqrt(5)+1)/2 = 1.618034 = phi.`

Answer 2

Golden ratio is the division of quantity into two unequal part whereas the smaller part refers to the bigger part and its also referred to the whole quantity..

Explanation:

It is denoted with the following sets of values;

Decimal: 1.6180339887498948482...

Binary: 1.1001111000110111011

Hexadecimal: 1.9E3779B97F4A7C15F39