Posted by **Jen** on Sunday, December 17, 2006 at 4:58pm.

e^c-2c = e-2

what is c?

ummm, 1?

e^1 = e

2*1 = 2

No! Answer is 0.351

How do I get this?

c = 1 is one solution. To find the other, you can proceed as follows.

e^c-2c - e + 2 = 0

put f(c) = e^c-2c - e + 2

Newton's Method (approximate functon by the tangent) gives succesive better and better approximations.

c_{n+1} = c_{n} - f(c_{n})/f'(c_{n})

= c_{n} -

[e^c_{n}-2c_{n} - e + 2]/[e^c_{n} - 2]

Take c_{1} = 0

then:

c_{2}=0.2817

c_{3}=0.3465

c_{4}= 0.351326

c_{5}= 0.351354757134

c_{6}= 0.351354758153

c_{6} is correct to 12 digits.

## Answer This Question

## Related Questions

- solving an exponential equation - Count iblis helped me solve this in another ...
- algebra1 - Find the product: (x + 5)2 12 Answer: Referring to the figure, find ...
- physics - Please answer asap with complete solution thanks a lot. I need the ...
- Physics - Please answer asap with complete solution thanks a lot. I need the ...
- To "ummm i need help" - Ummm, asking for the questions ahead of time is cheating...
- business maths - Jennifer owes $13,000 to a friend who is charging her interest ...
- Math - check my answers :) - 1. Find the amplitude, if it exists, and the period...
- ml algebra - Solve the equation x2 = 81 by finding square roots. *NOTE: ...
- Help - Is there a website that will help me solve this? I can't find anything. I...
- social studies(history) - 1 Tanzimat ile Meşrutiyet yönetimlerinin Osmanl...

More Related Questions