# Math Help - Finding Roots

1. ## 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

2. Originally Posted by Esthephane
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.