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iop360
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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
 one year ago
 one year ago
iop360 Group Title
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
 one year ago
 one year ago

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iop360 Group TitleBest 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?
 one year ago

ksaimouli Group TitleBest ResponseYou've already chosen the best response.2
can u explain ur steps
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
\[x2 = x1  \frac{ f(x1) }{ f'(x1) }\] \[x3 = x2  \frac{ f(x2) }{ f'(x2) }\]
 one year ago

ksaimouli Group TitleBest ResponseYou've already chosen the best response.2
i am getting 0
 one year ago

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

iop360 Group TitleBest ResponseYou've already chosen the best response.0
which is equal to 4, and repeats for x3
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
wait there is a power next to the 4 on the bottom
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
i just forgot that, but i still get 4 for x2
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
so its (4)  (0/39)....right?
 one year ago

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

iop360 Group TitleBest ResponseYou've already chosen the best response.0
x1 is already given to be x1 = 4
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
or is initial approximation x0?
 one year ago

ksaimouli Group TitleBest ResponseYou've already chosen the best response.2
ohh yup then ur right
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
im confused though..so is initial approximation (4) x0 or x1?
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
i know it says x1 in the question, but im not sure
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
i think it is probably x1
 one year ago

ksaimouli Group TitleBest ResponseYou've already chosen the best response.2
it is x1 clearly stated in question
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
do you get 4 for both x2 and x3 now when you try it?
 one year ago

iop360 Group TitleBest ResponseYou've already chosen the best response.0
ok.. thanks
 one year ago
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