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 2 years ago
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Apply newton's method with initial approximation x1=4 to find the 2nd and 3rd approximations x2 and x3 to the real root of the equation
 2 years ago
Need verification: Apply newton's method with initial approximation x1=4 to find the 2nd and 3rd approximations x2 and x3 to the real root of the equation

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iop360
 2 years ago
Best ResponseYou've already chosen the best response.0\[x^3 9x +28 = 0\] my answer is 4 for both x2 and x3.. can anyone verify this?

ksaimouli
 2 years ago
Best ResponseYou've already chosen the best response.2can u explain ur steps

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0\[x2 = x1  \frac{ f(x1) }{ f'(x1) }\] \[x3 = x2  \frac{ f(x2) }{ f'(x2) }\]

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0\[x2 = (4)  (\frac{ (4)^3 9(4) +28 }{ 3(4)  9 })\]

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0which is equal to 4, and repeats for x3

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0wait there is a power next to the 4 on the bottom

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0i just forgot that, but i still get 4 for x2

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0so its (4)  (0/39)....right?

ksaimouli
 2 years ago
Best ResponseYou've already chosen the best response.2hmm but i got x1=0 so should'nt the x2=0F(0)/(f'(0))

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0x1 is already given to be x1 = 4

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0or is initial approximation x0?

ksaimouli
 2 years ago
Best ResponseYou've already chosen the best response.2ohh yup then ur right

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0im confused though..so is initial approximation (4) x0 or x1?

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0i know it says x1 in the question, but im not sure

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0i think it is probably x1

ksaimouli
 2 years ago
Best ResponseYou've already chosen the best response.2it is x1 clearly stated in question

iop360
 2 years ago
Best ResponseYou've already chosen the best response.0do you get 4 for both x2 and x3 now when you try it?
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