anonymous
  • anonymous
the equation x^3 - 6x^2 + 11x - 3 = 0 has a solution near x = 0. Use Newton's Method to find an approx value (out of 3 decimal places) for this solution.
Mathematics
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anonymous
  • anonymous
the equation x^3 - 6x^2 + 11x - 3 = 0 has a solution near x = 0. Use Newton's Method to find an approx value (out of 3 decimal places) for this solution.
Mathematics
jamiebookeater
  • jamiebookeater
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myininaya
  • myininaya
It says the solution is near x=0. let's use an approximation for the solution. We make the initial guess 1/2.
myininaya
  • myininaya
f'(x)=3x^2-12x+11
myininaya
  • myininaya
x_1=x_0-f(x_0)/f'(x_0)=1/2-f(1/2)/f'(1/2)=...

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anonymous
  • anonymous
is it x_o - f(x_o) ALL OVER f'(x_o)? Or just f(x_o) / f'(x_o)
myininaya
  • myininaya
you don't know the forumla? is that all you need help on? ok well its x-f/f'
myininaya
  • myininaya
the x is not being divided by f' the f' is just under the f
anonymous
  • anonymous
So after I plug in the 1/2, is that my answer? Or do I continue to get smaller like 1/4, 1/8, etc?
anonymous
  • anonymous
Also, do I do negatives?
myininaya
  • myininaya
no it says to do it til you get within 3 decimal points so when you do this you do it over and over until you see the same 3 decimal points repeating
myininaya
  • myininaya
you can do negatives
anonymous
  • anonymous
Thanks! Thank you so much. Have a great night!

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