32,use the Newton-Raphson method to estimate
a root of the equation f (x) = 0 starting at the indicated value
of x:(a) Express xn+1 in terms of xn. (b) Give x4 rounded off to
five decimal places and evaluate f at that approximation f (x) = x^2 − 24; x1 = 5.

Question

32,use the Newton-Raphson method to estimate
a root of the equation f (x) = 0 starting at the indicated value
of x:(a) Express xn+1 in terms of xn. (b) Give x4 rounded off to
five decimal places and evaluate f at that approximation f (x) = x^2 − 24; x1 = 5.

anonymous · Answer

im real confused on how to go about solving this problem

turingtest · Answer

$$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}$$

turingtest · Answer

for n=1 what does that formula give?

anonymous · Answer

xn+1=1/2xn+12(1/xn)

turingtest · Answer

I have no idea what you just did
start at $x_1=5$, we know $f(x)=x^2-24$
so what is?
$$x_2=x_1-\frac{f(x_1)}{f'(x_1)}$$

anonymous · Answer

5-1/10?

turingtest · Answer

yes

turingtest · Answer

that is x2
now repeat that 2 more times to get x4, which is what the problem requests