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anonymous
 one year ago
Use Newton's method with initial approximation
x1 = 1
to find x2, the second approximation to the root of the equation
x4 − x − 8 = 0.
I worked it out and got 3.6666667 but it was wrong, please help!
anonymous
 one year ago
Use Newton's method with initial approximation x1 = 1 to find x2, the second approximation to the root of the equation x4 − x − 8 = 0. I worked it out and got 3.6666667 but it was wrong, please help!

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Newton's Method \[\Large x_{n+1} = x_n  \frac{f(x_n)}{f \ '(x_n)}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1If n = 1, then \[\Large x_{n+1} = x_n  \frac{f(x_n)}{f \ '(x_n)}\] \[\Large x_{1+1} = x_1  \frac{f(x_1)}{f \ '(x_1)}\] \[\Large x_{2} = 1  \frac{f(1)}{f \ '(1)}\] So you need to compute both f(1) and f ' (1). Do you know how to do that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah, i worked everything out i got x^4x8/4x^31 and I plugged in 1 for the x and then got 8/3, then i did 1(8/3) and got 3.66667?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Yeah I'm getting that too. Maybe they want you to round a very specific way?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I doubt they want it as a fraction, but who knows really.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that's what i was thinking, that maybe they wanted it in fraction form, but it doesn't specify...

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I've never seen newton's method approximations as fractions. Usually they are in decimal form. Can you post a screenshot of the full problem?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Use Newton's method with initial approximation x1 = 1 to find x2, the second approximation to the root of the equation x4 − x − 8 = 0. x2 =3.67 Incorrect: Your answer is incorrect.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Hmm so odd and frustrating. It would be nice if they added "round to 5 decimal places" or something.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0exactly! and i only have two tries so im scared to use my last one and get it wrong, since i dont know how im supposed to type the answer

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1The only thing you can do really is look back at previous correct problems to see what the computer wants. Or try to guess it anyway.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Or ask the teacher. I would ask for points back if you get it wrong since this problem is unfair.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah I'll try to do that, thanks for checking my answer though!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it was in fraction form lol

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so strange, but I guess computers tend to be that way
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