How does Oriental Wealth Write the Master Formula of the Golden Section?

First of all, we must understand the origin of the golden section:

Make a line segment ab, and then take a point C on the line segment ab so that ac/cb=cb/ab.

This point is the most beautiful point in vision, and it is also a point of great practical significance. Point C is the golden section.

Ok, the golden section is drawn. How to find the golden section value?

Let the length of ab line be 1 and cb (the longer line) be X.

From AC/CB = CB/AB: (1-x)/x = x.

Namely: x 2+x- 1 = 0.

The solution of the equation is:

X=(- 1+ radical number 5)/2

Or x=(- 1- radical number 5)/2.

(The length of the line segment cannot be negative, so this root is discarded. )

So the golden section value is (-1+ root number 5)/2.