Given a equation , let’s find the real value of x.

First, divide both sides by which becomes:

as , and , it becomes:

Let’s replace with and further we have:

that is

This equation has a golden root (the negative root should be discarded):

Therefore,
and
and
and we can compute the value x that is approximately 1.187.

–EOF (The Ultimate Computing & Technology Blog) —

推荐阅读：
为什么1既不是质数，也不是合数？　 数学中1有哪些意义？　 为什么至少有两列涂色方式相同？　 一道求零件个数问题　 密码电报中的小学数学题　 2011年迎春杯四年级数学初赛试题　 布丰先生的投针试验　 威廉·向克斯的憾事　 由掷骰子引起的争论　 生日相同的五个同胞姐弟