If using the method of completing the square to solve the quadratic equation x^2+20x-6=0x 2
+20x−6=0,

-- Start a list.
-- At the beginning of the list, write zero. 
-- Next on the list, write ' 1 '.
-- Now you have the beginning of the Fibonacci series.
-- Whenever you want to add a new term to the list, sum up
     the last two terms on the list.  Their sum is the new term.