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Hello internet! Oscar Veliz here showing you how to use another approach to finding roots called fixed point iteration. So how does fixed point iteration work? First if we're given an f of x, set it to zero, and then write it so that we have x is equal to something. Then we'll labeled the left side as x sub n plus one and the right side with x sub n. Then we'll go ahead and pick and x one and plug it into our equation and repeat it with every new x until it converges. So if we're given an example of where we want to find where x squared minus x minus one is equal to zero, here's how we'll do it. So using fixed point iteration we'll set x in terms of something. And there's a few ways to do that. One way is to say that x squared is equal to x plus one and therefore x is equal to one plus one over x. So x sub n plus one is equal to one plus one over x sub n We can also say this; that x squared minus x is equal to one. Therefore factor out an x and divide by that we can say x is qual to o...