the nth term formula of the Fibonacci sequence from a quadratic equation

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How a simple quadratic equation solves the nth term formula for the Fibonacci sequence (aka Binet's Formula). We will use the quadratic formula to solve x^2-x-1=0 and then use the quadratic equation itself to find the Binet's Formula! This is a very lovely math trick that might help you with math competition problems or math olympiad problems when you have to solve recurrence relations. It's definitely cool enough to impress your math teachers and math friends! #blackpenredpen #Fibonacci #quadratic

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