6. The Golden Ratio is irrational.....so it won"t have an exact value
It equals ≈ 1.618 = "Phi" = [ 1 + sqrt(5) ] / 2
We can find an equation by using similar triangles in a regular pentagon
We have that
x^2 - x - 1 = 0 solving this with the quadratic formula gives
[ 1 ± sqrt (5) ] / 2
BTW : Interestingly, as the Fibonacci Series grows larger and larger, the ratio of a successive term to a preceding term approaches Phi
