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Thread: Finding Roots

  1. #1
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    Finding Roots

    Use Newton's method to find all roots of the equation correct to six decimal places. (x - 5)2 = ln(x)

    For Newton's method i've gotten up to xsub5 and i'm just wondering if i've been doing it correctly. x3= 3.82831278, x4=3.83994775, x5=3.840049459
    Last edited by Esthephane; Jun 6th 2010 at 11:00 PM.
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  2. #2
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    Quote Originally Posted by Esthephane View Post
    Use Newton's method to find all roots of the equation correct to six decimal places. (x - 5)2 = ln(x)

    For Newton's method i've gotten up to xsub5 and i'm just wondering if i've been doing it correctly. x3= 3.82831278, x4=3.83994775, x5=3.840049459
    1. There exists a 2nd solution at x = 6.36017

    2. Convert 50\tfrac{mi}{h}=\dfrac{220}{3} \tfrac{ft}{s}

    Use the given value of the deceleration to calculate the time until the car stops. I've got t=\frac{55}{27} s

    Use the value of the deceleration and the time to calculate the braking distance.
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