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

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> 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      Log On


   



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) About Me  (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)
x=AC%2FCBwhich is supposed to equalx=AB%2FAC


the golden ratio = %281%2Bsqrt%285%29%29%2F2 = 1.61803399


-Prabhat