A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

x+1=e^x the question is solve?

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You can't solve this problem exactly. You can do 2 things (1) guess the solution. (2) use numerical approximation. (3) graph x+1 and e^x and find where the 2 curves intersect. It happens that's this equation is simple to solve by guessing.

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    as an infinite sum: e^x = 1 + x + (1/2!)*x^2 + (1/3!)*x^3 + .... x + 1 = 1 + x + (1/2!)*x^2 + (1/3!)*x^3 + ... 0 = (1/2!)*x^2 + (1/3!)*x^3 + .... x^2 * ( (1/2!) + (1/3!)*x + (1/4!)*x^2 + ...) = 0 Giving x = 0, using Newton Method we get: x(n+1) = x(n) -1 + x(n) / (e^x(n) -1) from which we might be able to form a proof that x =0 is the only solution

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    As uweddie said, graph them and see where they intersect.

  5. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.