- #1
syphonation
- 19
- 0
Homework Statement
Find x(sub3) when x(sub1) is 3 and x^3+3x-5 = 0
Give your answer to 4 correct decimal places.
Homework Equations
Mean Value Theoren Equation with Newton's Method.
x(sub n+1) = x(sub n) - [(f(x)/f'(x)]
The Attempt at a Solution
Okay, so we have to find x(sub2) before x(sub3).
x(sub2) = 3 - [(3^3 + 3(3) - 5)/(3(3)^2 + 3)
I get x(sub 2) to be ~ 1.966666667
Substituting that in the equation, I keep calculating x(sub3) to be ~1.010865585, which would be 1.0109 when rounded to 4 decimal places.
The homework program (WebAssign) that I am using is telling me that answer is wrong. I thought it might be a rounding error, so I tried 1.0108 and 1.0110, both of which were also wrong.
I don't know what I am doing wrong. I have solved this the same way as the ones prior to it, and they came out correct.
Thanks for any and all help.