Two quantities a and b are said to be in the "golden ratio" when the ratio of sum of the two quantities to the larger quantity equals the ratio of the larger quantity to the smaller quantity. That is, when
a+b / a = a / b Where a>b
show that this implies that
b / a-b = a / b
now define ø to be a / b , that is ø = a / b. show that the quadratic equation Ø???2-Ø-1=0 . follows from the definition of golden ratio. Find the positive root of this quadratic equation.