SOLUTION: Set up and solve a quadratic equation. The proportion of the division of a line so that the smaller is to the larger as the larger is to the whole, or of the sides of a rectang

Question 19486: Set up and solve a quadratic equation.
The proportion of the division of a line so that the smaller is to the larger as the larger is to the whole, or of the sides of a rectangle so that the ratio of their difference to the smaller equals that of the smaller to the larger, supposed in classical aesthetic theory to be uniquely pleasing to the eye. ``golden mean, golden section, or extreme and mean ratio, n." Apparently that ``extreme and mean ratio'' is a specific number which is ?

Answer by xcentaur(357) (Show Source): You can put this solution on YOUR website!

|--------------|---------|
A              C         B

Let the ratio of AC:CB be the ratio that we need (x)
which is supposed to equal

the golden ratio = = 1.61803399

-Prabhat

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