Question

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.

Answer 1

It says the solution is near x=0. let's use an approximation for the solution. We make the initial guess 1/2.

Answer 2

f'(x)=3x^2-12x+11

Answer 3

x_1=x_0-f(x_0)/f'(x_0)=1/2-f(1/2)/f'(1/2)=...

Answer 4

is it x_o - f(x_o) ALL OVER f'(x_o)? Or just f(x_o) / f'(x_o)

Answer 5

you don't know the forumla? is that all you need help on? ok well its x-f/f'

Answer 6

the x is not being divided by f' the f' is just under the f

Answer 7

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?

Answer 8

Also, do I do negatives?

Answer 9

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

Answer 10

you can do negatives

Answer 11

Thanks! Thank you so much. Have a great night!