Finding roots (Iterations and Newton Raphson method)

Question 1

How do you show that roots lie between certain point?

Answer 1

sub in the values into the equation
a change in sign means a < root < b

Question 2

What is the equation for finding the root? Iterations

Answer 2

1/2(xo + a/xo)

Question 3

How do you find the root of an equation? Iterations

Answer 3

put a number in and set as the ans
put in the equation with x as ans
continue clicking = until the number stays constant

Question 4

What is the equation for the Newton Raphson method?

Answer 4

Xn+1 = Xn - f(x)/f’(x)

Question 5

How do you calculate roots using Newton Raphson method?

Answer 5

rearrange f(x) to =0
differentiate to get f’(x)
pick an initial solution for x
sub in

Question 6

Does the Newton Raphson method work at stationary point?

Answer 6

No, is a guess for x is at a stationary point, Newton Raphson method fails