All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > General
Don't be confused (Posted on 2016-11-14) Difficulty: 1 of 5
If x satisfy the equation x^4 - x^2 + 1 = 0 , find the value of x^5 + 1/x

No Solution Yet Submitted by Danish Ahmed Khan    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 2 of 4 |
Multiply both sides of x^4 - x^2 + 1 = 0 by (x^2 + 1) to get x^6 + 1 = 0.

Then rearrange x^6 + 1 = 0 into x^5 = -1/x.

Then x^5 + 1/x = -1/x + 1/x = 0.

  Posted by Brian Smith on 2016-11-14 11:13:44
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information