Show from equation 2 that: ( X 2 - X 0 ) / ( X 1 - X 0 ) = 2 To receive all the

Question

Show from equation 2  that:   ( X2 - X0 ) / ( X1 - X0 ) = 2

To receive all the points, please show all steps completely and correctly!!!

To narrow down the root, we start with three points equally spaced in x. Call them P0, P1, and P2- In practice, we calculate X1 by bisecting the other 2 points, and then compute the y values of each point by evaluating f(x) for that x. Therefore, x1=X0 + X2/2 We require starting values that straddle the root. That means that the signs of yo and yi must be different, which in turn means that: y0y2

Explanation / Answer

x1= x2+x0/2

2x1 = x2 +x0

2x1-2xo = x2-+x0-2x0

2(x1-x0) = x2-x0

(x2-xo)/(x1-xo) = 2

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