My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum

Thanks Tree2Thanks
LinkBack Thread Tools Display Modes
September 20th, 2018, 02:09 PM   #11
Senior Member
Joined: May 2016
From: USA

Posts: 1,310
Thanks: 552

There are at two possible questions, which are quite different.

One is whether a real root of f(x) exists. That does not require finding a numerical solution at all. You can show using the Mean Value Theorem that a real root exists between 0 and 1.

A different question is whether you can find a numerical approximation of that root directly from the equation itself. The answer to that is also yes. I took an INTRODUCTORY course in numerical methods 50 years ago and no longer remember much. But bisection will work here though it may very well be tedious.
Thanks from topsquark
JeffM1 is offline  
September 20th, 2018, 06:13 PM   #12
Global Moderator
Joined: Dec 2006

Posts: 21,028
Thanks: 2259

The solution of e^x + x - 3 = 0 is x = 3 - W(e³), where W denotes the Lambert W function.

The value of a is approximately 0.792059968430677.
Thanks from topsquark
skipjack is offline  

  My Math Forum > College Math Forum > Calculus

equation, solving, stuck

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
stuck on equation drewm Algebra 1 August 11th, 2011 07:58 AM
Stuck on an equation drewm Algebra 4 July 2nd, 2011 06:04 PM
help!...I'm totally stuck solving for 'a'.... lenfromkits Algebra 2 November 15th, 2010 02:41 PM
help!...I'm totally stuck solving for 'a'.... lenfromkits Abstract Algebra 2 December 31st, 1969 04:00 PM
I'm stuck on a linear! neeshabell New Users 0 December 31st, 1969 04:00 PM

Copyright © 2019 My Math Forum. All rights reserved.