SOLUTION: solve for x x^2 - x - 1 = 0

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Question 249731: solve for x
x^2 - x - 1 = 0

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The given quadratic has no rational factors, hence you either have to complete the square or used the quadratic formula:



so , , and . Just plug in the numbers.



And do the arithmetic. By the way, the positive root of your quadratic is a particularly interesting number. It is called the golden ratio and is the ratio of the long side to the shorter side of the golden rectangle.

John