perplexus.info :: Just Math : A Biquadratic Polynomial Problem

A Biquadratic Polynomial Problem (Posted on 2006-11-20)

Determine analytically if two of the roots of x⁴+12x-5=0 add up to 2.

See The Solution Submitted by K Sengupta

Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Keeping it real

| Comment 2 of 3 |

Let a and b be two roots that add to 2.

a^4 + 12a - 5 + b^4 + 12b - 5 = 0

a^4 + b^4 + 12(a+b) = 10

a^4 + b^4 = -14

which has no real solution.

Posted by Bernie Hunt on 2006-11-20 17:51:56

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (17)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info